120873984 has 264 divisors, whose sum is σ = 414443808. Its totient is φ = 30965760.

The previous prime is 120873971. The next prime is 120873997. The reversal of 120873984 is 489378021.

It is an interprime number because it is at equal distance from previous prime (120873971) and next prime (120873997).

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×120873984² = 29221040016064512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1655772 + ... + 1655844.

Almost surely, 2^120873984 is an apocalyptic number.

120873984 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 120873984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207221904).

120873984 is an abundant number, since it is smaller than the sum of its proper divisors (293569824).

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

120873984 is a wasteful number, since it uses less digits than its factorization.

120873984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 120873984 is about 10994.2705078600. The cubic root of 120873984 is about 494.4369805080.

The spelling of 120873984 in words is "one hundred twenty million, eight hundred seventy-three thousand, nine hundred eighty-four".