231200132400 has 180 divisors, whose sum is σ = 803671191960. Its totient is φ = 61550208000.

The previous prime is 231200132389. The next prime is 231200132431. The reversal of 231200132400 is 4231002132.

231200132400 is a `hidden beast` number, since 2 + 31 + 200 + 1 + 32 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2110171 + ... + 2217029.

Almost surely, 2^231200132400 is an apocalyptic number.

231200132400 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 231200132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401835595980).

231200132400 is an abundant number, since it is smaller than the sum of its proper divisors (572471059560).

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

231200132400 is a wasteful number, since it uses less digits than its factorization.

231200132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107484 (or 107470 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 231200132400 its reverse (4231002132), we get a palindrome (235431134532).

The spelling of 231200132400 in words is "two hundred thirty-one billion, two hundred million, one hundred thirty-two thousand, four hundred".