120956004 has 135 divisors (see below), whose sum is σ = 349837257. Its totient is φ = 36425376.

The previous prime is 120955999. The next prime is 120956009. The reversal of 120956004 is 400659021.

The square root of 120956004 is 10998.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (120955999) and next prime (120956009).

It can be written as a sum of positive squares in only one way, i.e., 17892900 + 103063104 = 4230^2 + 10152^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (120956009) 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 44 ways as a sum of consecutive naturals, for example, 2573509 + ... + 2573555.

Almost surely, 2^120956004 is an apocalyptic number.

120956004 is the 10998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120956004

120956004 is an abundant number, since it is smaller than the sum of its proper divisors (228881253).

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

120956004 is a wasteful number, since it uses less digits than its factorization.

120956004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 120956004 is about 494.5487899329.

The spelling of 120956004 in words is "one hundred twenty million, nine hundred fifty-six thousand, four".