120089984 has 96 divisors (see below), whose sum is σ = 285699960. Its totient is φ = 50104320.

The previous prime is 120089971. The next prime is 120089993. The reversal of 120089984 is 489980021.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 256919 + ... + 257385.

Almost surely, 2^120089984 is an apocalyptic number.

120089984 is a gapful number since it is divisible by the number (14) 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 120089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142849980).

120089984 is an abundant number, since it is smaller than the sum of its proper divisors (165609976).

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

120089984 is an equidigital number, since it uses as much as digits as its factorization.

120089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 41.

The square root of 120089984 is about 10958.5575693154. The cubic root of 120089984 is about 493.3656727441.

The spelling of 120089984 in words is "one hundred twenty million, eighty-nine thousand, nine hundred eighty-four".