10032124400 has 60 divisors (see below), whose sum is σ = 24461978232. Its totient is φ = 3952945920.

The previous prime is 10032124381. The next prime is 10032124471. The reversal of 10032124400 is 442123001.

10032124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 160367 + ... + 213966.

Almost surely, 2^10032124400 is an apocalyptic number.

10032124400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032124400 is an abundant number, since it is smaller than the sum of its proper divisors (14429853832).

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

10032124400 is a wasteful number, since it uses less digits than its factorization.

10032124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374418 (or 374407 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 10032124400 its reverse (442123001), we get a palindrome (10474247401).

The spelling of 10032124400 in words is "ten billion, thirty-two million, one hundred twenty-four thousand, four hundred".