232112319129600 has 1152 divisors, whose sum is σ = 946856959776000. Its totient is φ = 48846109409280.

The previous prime is 232112319129553. The next prime is 232112319129619. The reversal of 232112319129600 is 6921913211232.

It is a happy number.

It is a super-2 number, since 2×232112319129600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 5437265056 + ... + 5437307744.

It is an arithmetic number, because the mean of its divisors is an integer number (821924444250).

Almost surely, 2^{232112319129600} is an apocalyptic number.

232112319129600 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 232112319129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473428479888000).

232112319129600 is an abundant number, since it is smaller than the sum of its proper divisors (714744640646400).

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

232112319129600 is a wasteful number, since it uses less digits than its factorization.

232112319129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43133 (or 43108 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 232112319129600 in words is "two hundred thirty-two trillion, one hundred twelve billion, three hundred nineteen million, one hundred twenty-nine thousand, six hundred".