120351400 has 96 divisors (see below), whose sum is σ = 308964600. Its totient is φ = 43315200.

The previous prime is 120351373. The next prime is 120351409. The reversal of 120351400 is 4153021.

It can be written as a sum of positive squares in 12 ways, for example, as 24820324 + 95531076 = 4982^2 + 9774^2 .

It is not an unprimeable number, because it can be changed into a prime (120351409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106036 + ... + 107164.

Almost surely, 2^120351400 is an apocalyptic number.

120351400 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 120351400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154482300).

120351400 is an abundant number, since it is smaller than the sum of its proper divisors (188613200).

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

120351400 is a wasteful number, since it uses less digits than its factorization.

120351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 120351400 is about 10970.4785675011. The cubic root of 120351400 is about 493.7234050729.

The spelling of 120351400 in words is "one hundred twenty million, three hundred fifty-one thousand, four hundred".