23200131200 has 192 divisors, whose sum is σ = 60887029320. Its totient is φ = 8704819200.

The previous prime is 23200131179. The next prime is 23200131223. The reversal of 23200131200 is 213100232.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2438779456 + 20761351744 = 49384^2 + 144088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22901894 + ... + 22902906.

Almost surely, 2^23200131200 is an apocalyptic number.

23200131200 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 23200131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30443514660).

23200131200 is an abundant number, since it is smaller than the sum of its proper divisors (37686898120).

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

23200131200 is a wasteful number, since it uses less digits than its factorization.

23200131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 23200131200 its reverse (213100232), we get a palindrome (23413231432).

The spelling of 23200131200 in words is "twenty-three billion, two hundred million, one hundred thirty-one thousand, two hundred".