120077652 has 48 divisors (see below), whose sum is σ = 284419520. Its totient is φ = 39426048.

The previous prime is 120077651. The next prime is 120077653. The reversal of 120077652 is 256770021.

120077652 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120077651) and next prime (120077653).

120077652 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120077651) 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 15 ways as a sum of consecutive naturals, for example, 321738 + ... + 322110.

Almost surely, 2^120077652 is an apocalyptic number.

120077652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120077652 is an abundant number, since it is smaller than the sum of its proper divisors (164341868).

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

120077652 is a wasteful number, since it uses less digits than its factorization.

120077652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 120077652 is about 10957.9948895772. The cubic root of 120077652 is about 493.3487843144.

The spelling of 120077652 in words is "one hundred twenty million, seventy-seven thousand, six hundred fifty-two".