120888400 has 30 divisors (see below), whose sum is σ = 290435342. Its totient is φ = 48355200.

The previous prime is 120888367. The next prime is 120888401. The reversal of 120888400 is 4888021.

It can be written as a sum of positive squares in 3 ways, for example, as 9290304 + 111598096 = 3048^2 + 10564^2 .

It is a super-2 number, since 2×120888400² = 29228010509120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120888401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 150711 + ... + 151510.

Almost surely, 2^120888400 is an apocalyptic number.

120888400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120888400 is an abundant number, since it is smaller than the sum of its proper divisors (169546942).

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

120888400 is a wasteful number, since it uses less digits than its factorization.

120888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302239 (or 302228 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 120888400 is about 10994.9261025257. The cubic root of 120888400 is about 494.4566360201.

The spelling of 120888400 in words is "one hundred twenty million, eight hundred eighty-eight thousand, four hundred".