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121264556150130 = 235293722316893049
BaseRepresentation
bin11011100100101000011010…
…110010110000110101110010
3120220100210000102021100200020
4123210220122302300311302
5111343244302333301010
61105524100143504310
734354034514126351
oct3344503262606562
9526323012240606
10121264556150130
113570301164a398
1211725a725b8096
135288277377b83
1421d33431b1998
15e04581a74470
hex6e4a1acb0d72

121264556150130 has 128 divisors (see below), whose sum is σ = 310594265856000. Its totient is φ = 30242069673984.

The previous prime is 121264556150107. The next prime is 121264556150149. The reversal of 121264556150130 is 31051655462121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1268155 + ... + 15624894.

It is an arithmetic number, because the mean of its divisors is an integer number (2426517702000).

Almost surely, 2121264556150130 is an apocalyptic number.

121264556150130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121264556150130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155297132928000).

121264556150130 is an abundant number, since it is smaller than the sum of its proper divisors (189329709705870).

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

121264556150130 is a wasteful number, since it uses less digits than its factorization.

121264556150130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16893348.

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 121264556150130 in words is "one hundred twenty-one trillion, two hundred sixty-four billion, five hundred fifty-six million, one hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 37 58 74 87 111 145 174 185 222 223 290 370 435 446 555 669 870 1073 1110 1115 1338 2146 2230 3219 3345 5365 6438 6467 6690 8251 10730 12934 16095 16502 19401 24753 32190 32335 38802 41255 49506 64670 82510 97005 123765 194010 239279 247530 478558 717837 1196395 1435674 2392790 3589185 7178370 16893049 33786098 50679147 84465245 101358294 168930490 253395735 489898421 506791470 625042813 979796842 1250085626 1469695263 1875128439 2449492105 2939390526 3125214065 3750256878 3767149927 4898984210 6250428130 7348476315 7534299854 9375642195 11301449781 14696952630 18126241577 18751284390 18835749635 22602899562 36252483154 37671499270 54378724731 56507248905 90631207885 108757449462 109247347883 113014497810 139384547299 181262415770 218494695766 271893623655 278769094598 327742043649 418153641897 543787247310 546236739415 655484087298 696922736495 836307283794 1092473478830 1393845472990 1638710218245 2090768209485 3277420436490 4042151871671 4181536418970 8084303743342 12126455615013 20210759358355 24252911230026 40421518716710 60632278075065 121264556150130