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121025214012 = 223175373153337
BaseRepresentation
bin111000010110110101…
…0100011011000111100
3102120101110021212201210
41300231222203120330
53440324423322022
6131333114204420
711513055226353
oct1605552433074
9376343255653
10121025214012
114736563a62a
121b557123710
13b549711c91
145c0157899a
153234eb7a0c
hex1c2daa363c

121025214012 has 96 divisors (see below), whose sum is σ = 308820278592. Its totient is φ = 36741758976.

The previous prime is 121025213999. The next prime is 121025214017. The reversal of 121025214012 is 210412520121.

It is a super-2 number, since 2×1210252140122 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 121025214012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121025214017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712608 + ... + 865944.

It is an arithmetic number, because the mean of its divisors is an integer number (3216877902).

Almost surely, 2121025214012 is an apocalyptic number.

121025214012 is a gapful number since it is divisible by the number (12) 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 121025214012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154410139296).

121025214012 is an abundant number, since it is smaller than the sum of its proper divisors (187795064580).

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

121025214012 is a wasteful number, since it uses less digits than its factorization.

121025214012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153487 (or 153485 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 121025214012 its reverse (210412520121), we get a palindrome (331437734133).

The spelling of 121025214012 in words is "one hundred twenty-one billion, twenty-five million, two hundred fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 73 102 106 146 159 204 212 219 292 318 438 636 876 901 1241 1802 2482 2703 3604 3723 3869 4964 5406 7446 7738 10812 11607 14892 15476 23214 46428 65773 131546 153337 197319 263092 306674 394638 460011 613348 789276 920022 1840044 2606729 5213458 7820187 8126861 10426916 11193601 15640374 16253722 22387202 24380583 31280748 32507444 33580803 44774404 48761166 67161606 97522332 134323212 138156637 190291217 276313274 380582434 414469911 552626548 570873651 593260853 761164868 828939822 1141747302 1186521706 1657879644 1779782559 2283494604 2373043412 3559565118 7119130236 10085434501 20170869002 30256303503 40341738004 60512607006 121025214012