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121151525151120 = 24355375891255039
BaseRepresentation
bin11011100010111111001001…
…100111101110000110010000
3120212221222021002111200022120
4123202333021213232012100
5111334421310414313440
61105400124201134240
734342623506364162
oct3342771147560620
9525858232450276
10121151525151120
113566a089596922
1211707b8878a380
13527a702c31b39
1421cba9d636932
15e01668812dd0
hex6e2fc99ee190

121151525151120 has 160 divisors (see below), whose sum is σ = 382706676633600. Its totient is φ = 31693303928832.

The previous prime is 121151525151113. The next prime is 121151525151127. The reversal of 121151525151120 is 21151525151121.

It is an interprime number because it is at equal distance from previous prime (121151525151113) and next prime (121151525151127).

It is not an unprimeable number, because it can be changed into a prime (121151525151127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95904561 + ... + 97159599.

It is an arithmetic number, because the mean of its divisors is an integer number (2391916728960).

Almost surely, 2121151525151120 is an apocalyptic number.

121151525151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121151525151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191353338316800).

121151525151120 is an abundant number, since it is smaller than the sum of its proper divisors (261555151482480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121151525151120 is a wasteful number, since it uses less digits than its factorization.

121151525151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262697 (or 1262691 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 33.

Subtracting from 121151525151120 its reverse (21151525151121), we obtain a palindrome (99999999999999).

The spelling of 121151525151120 in words is "one hundred twenty-one trillion, one hundred fifty-one billion, five hundred twenty-five million, one hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 7589 12720 15178 22767 30356 37945 45534 60712 75890 91068 113835 121424 151780 182136 227670 303560 364272 402217 455340 607120 804434 910680 1206651 1255039 1608868 1821360 2011085 2413302 2510078 3217736 3765117 4022170 4826604 5020156 6033255 6275195 6435472 7530234 8044340 9653208 10040312 12066510 12550390 15060468 16088680 18825585 19306416 20080624 24133020 25100780 30120936 32177360 37651170 48266040 50201560 60241872 66517067 75302340 96532080 100403120 133034134 150604680 199551201 266068268 301209360 332585335 399102402 532136536 665170670 798204804 997756005 1064273072 1330341340 1596409608 1995512010 2660682680 3192819216 3991024020 5321365360 7982048040 9524490971 15964096080 19048981942 28573472913 38097963884 47622454855 57146945826 76195927768 95244909710 114293891652 142867364565 152391855536 190489819420 228587783304 285734729130 380979638840 457175566608 504798021463 571469458260 761959277680 1009596042926 1142938916520 1514394064389 2019192085852 2285877833040 2523990107315 3028788128778 4038384171704 5047980214630 6057576257556 7571970321945 8076768343408 10095960429260 12115152515112 15143940643890 20191920858520 24230305030224 30287881287780 40383841717040 60575762575560 121151525151120