232205112113400 has 72 divisors (see below), whose sum is σ = 779822168186880. Its totient is φ = 61921363229760.

The previous prime is 232205112113341. The next prime is 232205112113423. The reversal of 232205112113400 is 4311211502232.

It is a happy number.

232205112113400 is a `hidden beast` number, since 2 + 3 + 2 + 205 + 112 + 1 + 1 + 340 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 64501418232 + ... + 64501421831.

It is an arithmetic number, because the mean of its divisors is an integer number (10830863447040).

Almost surely, 2^{232205112113400} is an apocalyptic number.

232205112113400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232205112113400 is an abundant number, since it is smaller than the sum of its proper divisors (547617056073480).

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

232205112113400 is a wasteful number, since it uses less digits than its factorization.

232205112113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129002840085 (or 129002840073 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 232205112113400 its reverse (4311211502232), we get a palindrome (236516323615632).

The spelling of 232205112113400 in words is "two hundred thirty-two trillion, two hundred five billion, one hundred twelve million, one hundred thirteen thousand, four hundred".