120351264 has 48 divisors (see below), whose sum is σ = 344645280. Its totient is φ = 36469760.

The previous prime is 120351223. The next prime is 120351289. The reversal of 120351264 is 462153021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 55929 + ... + 58040.

It is an arithmetic number, because the mean of its divisors is an integer number (7180110).

Almost surely, 2^120351264 is an apocalyptic number.

It is an amenable number.

120351264 is an abundant number, since it is smaller than the sum of its proper divisors (224294016).

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

120351264 is a wasteful number, since it uses less digits than its factorization.

120351264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113993 (or 113985 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 120351264 is about 10970.4723690459. The cubic root of 120351264 is about 493.7232190997.

It can be divided in two parts, 1203512 and 64, that added together give a triangular number (1203576 = T₁₅₅₁).

The spelling of 120351264 in words is "one hundred twenty million, three hundred fifty-one thousand, two hundred sixty-four".