10123202400 has 72 divisors (see below), whose sum is σ = 32951031624. Its totient is φ = 2699520000.

The previous prime is 10123202387. The next prime is 10123202443. The reversal of 10123202400 is 420232101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10123202400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2106601 + ... + 2111400.

It is an arithmetic number, because the mean of its divisors is an integer number (457653217).

Almost surely, 2^10123202400 is an apocalyptic number.

10123202400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123202400 is an abundant number, since it is smaller than the sum of its proper divisors (22827829224).

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

10123202400 is a wasteful number, since it uses less digits than its factorization.

10123202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218024 (or 4218011 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10123202400 its reverse (420232101), we get a palindrome (10543434501).

The spelling of 10123202400 in words is "ten billion, one hundred twenty-three million, two hundred two thousand, four hundred".