120882432 has 144 divisors (see below), whose sum is σ = 360561600. Its totient is φ = 35635200.

The previous prime is 120882431. The next prime is 120882451. The reversal of 120882432 is 234288021.

It is a super-2 number, since 2×120882432² = 29225124732469248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 120882432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120882431) 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, 346194 + ... + 346542.

It is an arithmetic number, because the mean of its divisors is an integer number (2503900).

Almost surely, 2^120882432 is an apocalyptic number.

120882432 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 120882432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180280800).

120882432 is an abundant number, since it is smaller than the sum of its proper divisors (239679168).

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

120882432 is a wasteful number, since it uses less digits than its factorization.

120882432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 120882432 is about 10994.6547012628. The cubic root of 120882432 is about 494.4484991331.

The spelling of 120882432 in words is "one hundred twenty million, eight hundred eighty-two thousand, four hundred thirty-two".