232120110400 has 84 divisors (see below), whose sum is σ = 571268133052. Its totient is φ = 92830556160.

The previous prime is 232120110379. The next prime is 232120110401. The reversal of 232120110400 is 4011021232.

232120110400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12114084096 + 220006026304 = 110064^2 + 469048^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232120110401) 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 11 ways as a sum of consecutive naturals, for example, 11530744 + ... + 11550856.

Almost surely, 2^232120110400 is an apocalyptic number.

232120110400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232120110400 is an abundant number, since it is smaller than the sum of its proper divisors (339148022652).

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

232120110400 is a wasteful number, since it uses less digits than its factorization.

232120110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27348 (or 27333 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 232120110400 its reverse (4011021232), we get a palindrome (236131131632).

The spelling of 232120110400 in words is "two hundred thirty-two billion, one hundred twenty million, one hundred ten thousand, four hundred".