120299400 has 288 divisors, whose sum is σ = 447861960. Its totient is φ = 28753920.

The previous prime is 120299341. The next prime is 120299441. The reversal of 120299400 is 4992021.

It can be written as a sum of positive squares in 12 ways, for example, as 2490084 + 117809316 = 1578^2 + 10854^2 .

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1240152 + ... + 1240248.

Almost surely, 2^120299400 is an apocalyptic number.

120299400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120299400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223930980).

120299400 is an abundant number, since it is smaller than the sum of its proper divisors (327562560).

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

120299400 is a wasteful number, since it uses less digits than its factorization.

120299400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 120299400 is about 10968.1083145636. The cubic root of 120299400 is about 493.6522874525.

The spelling of 120299400 in words is "one hundred twenty million, two hundred ninety-nine thousand, four hundred".