120981504 has 192 divisors, whose sum is σ = 385257600. Its totient is φ = 33030144.

The previous prime is 120981491. The next prime is 120981517. The reversal of 120981504 is 405189021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120981491) and next prime (120981517).

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1247184 + ... + 1247280.

It is an arithmetic number, because the mean of its divisors is an integer number (2006550).

Almost surely, 2^120981504 is an apocalyptic number.

120981504 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 120981504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

120981504 is an abundant number, since it is smaller than the sum of its proper divisors (264276096).

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

120981504 is an equidigital number, since it uses as much as digits as its factorization.

120981504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 120981504 is about 10999.1592405965. The cubic root of 120981504 is about 494.5835411582.

The spelling of 120981504 in words is "one hundred twenty million, nine hundred eighty-one thousand, five hundred four".