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123171129972 = 223211615098987
BaseRepresentation
bin111001010110110010…
…0100100101001110100
3102202221000012201000200
41302231210210221310
54004223302124342
6132330052440500
711620203221202
oct1625544445164
9382830181020
10123171129972
1148266989aa0
121ba55919130
13b7cc188337
145d66578072
15330d59e94c
hex1cad924a74

123171129972 has 72 divisors (see below), whose sum is σ = 345221883552. Its totient is φ = 36712699200.

The previous prime is 123171129901. The next prime is 123171129973. The reversal of 123171129972 is 279921171321.

123171129972 is a `hidden beast` number, since 123 + 171 + 1 + 299 + 72 = 666.

It is a super-2 number, since 2×1231711299722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123171129973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2525338 + ... + 2573649.

Almost surely, 2123171129972 is an apocalyptic number.

123171129972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

123171129972 is an abundant number, since it is smaller than the sum of its proper divisors (222050753580).

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

123171129972 is a wasteful number, since it uses less digits than its factorization.

123171129972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5099069 (or 5099064 counting only the distinct ones).

The product of its digits is 95256, while the sum is 45.

The spelling of 123171129972 in words is "one hundred twenty-three billion, one hundred seventy-one million, one hundred twenty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 61 66 99 122 132 183 198 244 366 396 549 671 732 1098 1342 2013 2196 2684 4026 6039 8052 12078 24156 5098987 10197974 15296961 20395948 30593922 45890883 56088857 61187844 91781766 112177714 168266571 183563532 224355428 311038207 336533142 504799713 622076414 673066284 933114621 1009599426 1244152828 1866229242 2019198852 2799343863 3421420277 3732458484 5598687726 6842840554 10264260831 11197375452 13685681108 20528521662 30792782493 41057043324 61585564986 123171129972