120052000 has 48 divisors (see below), whose sum is σ = 294977592. Its totient is φ = 48019200.

The previous prime is 120051989. The next prime is 120052027. The reversal of 120052000 is 250021.

It can be written as a sum of positive squares in 4 ways, for example, as 4016016 + 116035984 = 2004^2 + 10772^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11007 + ... + 19006.

Almost surely, 2^120052000 is an apocalyptic number.

120052000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120052000 is an abundant number, since it is smaller than the sum of its proper divisors (174925592).

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

120052000 is an equidigital number, since it uses as much as digits as its factorization.

120052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30038 (or 30020 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 120052000 is about 10956.8243574496. The cubic root of 120052000 is about 493.3136507041.

It can be divided in two parts, 12005 and 2000, that multiplied together give a 4-th power (24010000 = 70⁴).

The spelling of 120052000 in words is "one hundred twenty million, fifty-two thousand".