232126772613120 has 1664 divisors, whose sum is σ = 1053971559567360. Its totient is φ = 47057338368000.

The previous prime is 232126772613097. The next prime is 232126772613221. The reversal of 232126772613120 is 21316277621232.

232126772613120 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 2 + 6 + 7 + 7 + 2 + 613 + 1 + 20 = 666.

It is a super-2 number, since 2×232126772613120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1745628235 + ... + 1745761205.

Almost surely, 2^{232126772613120} is an apocalyptic number.

232126772613120 is a gapful number since it is divisible by the number (20) 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 232126772613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526985779783680).

232126772613120 is an abundant number, since it is smaller than the sum of its proper divisors (821844786954240).

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

232126772613120 is a wasteful number, since it uses less digits than its factorization.

232126772613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133068 (or 133040 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 232126772613120 in words is "two hundred thirty-two trillion, one hundred twenty-six billion, seven hundred seventy-two million, six hundred thirteen thousand, one hundred twenty".