123200400 has 60 divisors (see below), whose sum is σ = 394655792. Its totient is φ = 32853120.

The previous prime is 123200383. The next prime is 123200431. The reversal of 123200400 is 4002321.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 50134 + ... + 52533.

Almost surely, 2^123200400 is an apocalyptic number.

123200400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123200400 is an abundant number, since it is smaller than the sum of its proper divisors (271455392).

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

123200400 is a wasteful number, since it uses less digits than its factorization.

123200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102688 (or 102677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 123200400 is about 11099.5675591439. The cubic root of 123200400 is about 497.5889254608.

Adding to 123200400 its reverse (4002321), we get a palindrome (127202721).

The spelling of 123200400 in words is "one hundred twenty-three million, two hundred thousand, four hundred".