10232501200 has 60 divisors (see below), whose sum is σ = 25183224108. Its totient is φ = 3993164800.

The previous prime is 10232501179. The next prime is 10232501207. The reversal of 10232501200 is 210523201.

10232501200 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 3430210624 + 6802290576 = 58568^2 + 82476^2 .

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 (10232501207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 295567 + ... + 328366.

Almost surely, 2^10232501200 is an apocalyptic number.

10232501200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232501200 is an abundant number, since it is smaller than the sum of its proper divisors (14950722908).

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

10232501200 is a wasteful number, since it uses less digits than its factorization.

10232501200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623992 (or 623981 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The spelling of 10232501200 in words is "ten billion, two hundred thirty-two million, five hundred one thousand, two hundred".