120390732 has 192 divisors, whose sum is σ = 402554880. Its totient is φ = 30196800.

The previous prime is 120390731. The next prime is 120390737. The reversal of 120390732 is 237093021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120390696 and 120390705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120390731) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 257563 + ... + 258029.

It is an arithmetic number, because the mean of its divisors is an integer number (2096640).

Almost surely, 2^120390732 is an apocalyptic number.

120390732 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 120390732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

120390732 is an abundant number, since it is smaller than the sum of its proper divisors (282164148).

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

120390732 is a wasteful number, since it uses less digits than its factorization.

120390732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 120390732 is about 10972.2710502430. The cubic root of 120390732 is about 493.7771837408. Note that the first 3 decimals are identical.

The spelling of 120390732 in words is "one hundred twenty million, three hundred ninety thousand, seven hundred thirty-two".