120413200 has 60 divisors (see below), whose sum is σ = 290364228. Its totient is φ = 47987200.

The previous prime is 120413197. The next prime is 120413213. The reversal of 120413200 is 2314021.

It can be written as a sum of positive squares in 6 ways, for example, as 16128256 + 104284944 = 4016^2 + 10212^2 .

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, 184074 + ... + 184726.

Almost surely, 2^120413200 is an apocalyptic number.

120413200 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 120413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145182114).

120413200 is an abundant number, since it is smaller than the sum of its proper divisors (169951028).

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

120413200 is a wasteful number, since it uses less digits than its factorization.

120413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 120413200 is about 10973.2948561496. The cubic root of 120413200 is about 493.8078989946.

Adding to 120413200 its reverse (2314021), we get a palindrome (122727221).

The spelling of 120413200 in words is "one hundred twenty million, four hundred thirteen thousand, two hundred".