120256200 has 72 divisors (see below), whose sum is σ = 403866450. Its totient is φ = 32067840.

The previous prime is 120256183. The next prime is 120256207. The reversal of 120256200 is 2652021.

120256200 is a `hidden beast` number, since 1 + 20 + 25 + 620 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 57244356 + 63011844 = 7566^2 + 7938^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120256207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 31605 + ... + 35204.

Almost surely, 2^120256200 is an apocalyptic number.

120256200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120256200 is an abundant number, since it is smaller than the sum of its proper divisors (283610250).

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

120256200 is a wasteful number, since it uses less digits than its factorization.

120256200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66831 (or 66819 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 120256200 is about 10966.1387917535. The cubic root of 120256200 is about 493.5931895350.

It can be divided in two parts, 12025 and 6200, that added together give a square (18225 = 135²).

The spelling of 120256200 in words is "one hundred twenty million, two hundred fifty-six thousand, two hundred".