120356000 has 48 divisors (see below), whose sum is σ = 295724520. Its totient is φ = 48140800.

The previous prime is 120355997. The next prime is 120356009. The reversal of 120356000 is 653021.

It can be written as a sum of positive squares in 4 ways, for example, as 34904464 + 85451536 = 5908^2 + 9244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 120356000.

It is not an unprimeable number, because it can be changed into a prime (120356009) 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 7 ways as a sum of consecutive naturals, for example, 11045 + ... + 19044.

Almost surely, 2^120356000 is an apocalyptic number.

120356000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120356000 is an abundant number, since it is smaller than the sum of its proper divisors (175368520).

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

120356000 is an equidigital number, since it uses as much as digits as its factorization.

120356000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30114 (or 30096 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 120356000 is about 10970.6882190681. The cubic root of 120356000 is about 493.7296952607.

The spelling of 120356000 in words is "one hundred twenty million, three hundred fifty-six thousand".