120804432 has 160 divisors (see below), whose sum is σ = 380928000. Its totient is φ = 32223744.

The previous prime is 120804421. The next prime is 120804443. The reversal of 120804432 is 234408021.

It is an interprime number because it is at equal distance from previous prime (120804421) and next prime (120804443).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810694 + ... + 810842.

It is an arithmetic number, because the mean of its divisors is an integer number (2380800).

Almost surely, 2^120804432 is an apocalyptic number.

120804432 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 120804432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190464000).

120804432 is an abundant number, since it is smaller than the sum of its proper divisors (260123568).

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

120804432 is a wasteful number, since it uses less digits than its factorization.

120804432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 120804432 is about 10991.1069506215. The cubic root of 120804432 is about 494.3421277868.

The spelling of 120804432 in words is "one hundred twenty million, eight hundred four thousand, four hundred thirty-two".