120152868 has 96 divisors (see below), whose sum is σ = 317011968. Its totient is φ = 35107200.

The previous prime is 120152867. The next prime is 120152873. The reversal of 120152868 is 868251021.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (120152863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663738 + ... + 663918.

It is an arithmetic number, because the mean of its divisors is an integer number (3302208).

Almost surely, 2^120152868 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120152868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158505984).

120152868 is an abundant number, since it is smaller than the sum of its proper divisors (196859100).

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

120152868 is a wasteful number, since it uses less digits than its factorization.

120152868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 120152868 is about 10961.4263670382. The cubic root of 120152868 is about 493.4517731615.

The spelling of 120152868 in words is "one hundred twenty million, one hundred fifty-two thousand, eight hundred sixty-eight".