120082000 has 40 divisors (see below), whose sum is σ = 290363112. Its totient is φ = 48032000.

The previous prime is 120081979. The next prime is 120082009. The reversal of 120082000 is 280021.

It can be written as a sum of positive squares in 4 ways, for example, as 3182656 + 116899344 = 1784^2 + 10812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120082009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28021 + ... + 32020.

Almost surely, 2^120082000 is an apocalyptic number.

120082000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120082000 is an abundant number, since it is smaller than the sum of its proper divisors (170281112).

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

120082000 is an equidigital number, since it uses as much as digits as its factorization.

120082000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60064 (or 60048 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 120082000 is about 10958.1932817413. The cubic root of 120082000 is about 493.3547389462.

The spelling of 120082000 in words is "one hundred twenty million, eighty-two thousand".