120150400 has 48 divisors (see below), whose sum is σ = 296816940. Its totient is φ = 48058880.

The previous prime is 120150383. The next prime is 120150421. The reversal of 120150400 is 4051021.

It is a super-2 number, since 2×120150400² = 28872237240320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15574 + ... + 21973.

Almost surely, 2^120150400 is an apocalyptic number.

120150400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120150400 is an abundant number, since it is smaller than the sum of its proper divisors (176666540).

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

120150400 is an equidigital number, since it uses as much as digits as its factorization.

120150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37571 (or 37554 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 120150400 is about 10961.3137898703. The cubic root of 120150400 is about 493.4483945563.

The spelling of 120150400 in words is "one hundred twenty million, one hundred fifty thousand, four hundred".