120318432 has 96 divisors (see below), whose sum is σ = 342427680. Its totient is φ = 36771840.

The previous prime is 120318389. The next prime is 120318437. The reversal of 120318432 is 234813021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120318437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285582 + ... + 286002.

It is an arithmetic number, because the mean of its divisors is an integer number (3566955).

Almost surely, 2^120318432 is an apocalyptic number.

120318432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120318432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171213840).

120318432 is an abundant number, since it is smaller than the sum of its proper divisors (222109248).

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

120318432 is a wasteful number, since it uses less digits than its factorization.

120318432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 120318432 is about 10968.9758865630. The cubic root of 120318432 is about 493.6783188789.

The spelling of 120318432 in words is "one hundred twenty million, three hundred eighteen thousand, four hundred thirty-two".