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121301012111130 = 23352368712842843
BaseRepresentation
bin11011100101001010010111…
…101111001101111100011010
3120220111021010002121001122000
4123211022113233031330122
5111344343433100024010
61105552525441341430
734356465105521055
oct3345122757157432
9526437102531560
10121301012111130
113571751a031485
1211730b47637876
13528b837111a27
1421d5000bd9a9c
15e054b73507c0
hex6e5297bcdf1a

121301012111130 has 128 divisors (see below), whose sum is σ = 337582494167040. Its totient is φ = 30936034071360.

The previous prime is 121301012111119. The next prime is 121301012111131. The reversal of 121301012111130 is 31111210103121.

121301012111130 is a `hidden beast` number, since 1 + 21 + 301 + 0 + 1 + 211 + 1 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (121301012111131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41247489 + ... + 44090331.

It is an arithmetic number, because the mean of its divisors is an integer number (2637363235680).

Almost surely, 2121301012111130 is an apocalyptic number.

121301012111130 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 121301012111130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168791247083520).

121301012111130 is an abundant number, since it is smaller than the sum of its proper divisors (216281482055910).

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

121301012111130 is a wasteful number, since it uses less digits than its factorization.

121301012111130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849753 (or 2849747 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 121301012111130 its reverse (31111210103121), we get a palindrome (152412222214251).

The spelling of 121301012111130 in words is "one hundred twenty-one trillion, three hundred one billion, twelve million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 6871 13742 20613 34355 41226 61839 68710 103065 123678 158033 185517 206130 309195 316066 371034 474099 618390 790165 927585 948198 1422297 1580330 1855170 2370495 2842843 2844594 4266891 4740990 5685686 7111485 8528529 8533782 14214215 14222970 17057058 21334455 25585587 28428430 42642645 42668910 51171174 65385389 76756761 85285290 127927935 130770778 153513522 196156167 255855870 326926945 383783805 392312334 588468501 653853890 767567610 980780835 1176937002 1765405503 1961561670 2942342505 3530811006 5884685010 8827027515 17654055030 19533174253 39066348506 58599522759 97665871265 117199045518 175798568277 195331742530 292997613795 351597136554 449263007819 527395704831 585995227590 878992841385 898526015638 1054791409662 1347789023457 1757985682770 2246315039095 2636978524155 2695578046914 4043367070371 4492630078190 5273957048310 6738945117285 8086734140742 12130101211113 13477890234570 20216835351855 24260202422226 40433670703710 60650506055565 121301012111130