120988512 has 96 divisors (see below), whose sum is σ = 354987360. Its totient is φ = 40089600.

The previous prime is 120988501. The next prime is 120988537. The reversal of 120988512 is 215889021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 201012 + ... + 201612.

It is an arithmetic number, because the mean of its divisors is an integer number (3697785).

Almost surely, 2^120988512 is an apocalyptic number.

120988512 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 120988512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177493680).

120988512 is an abundant number, since it is smaller than the sum of its proper divisors (233998848).

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

120988512 is a wasteful number, since it uses less digits than its factorization.

120988512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 120988512 is about 10999.4778057870. The cubic root of 120988512 is about 494.5930907571.

The spelling of 120988512 in words is "one hundred twenty million, nine hundred eighty-eight thousand, five hundred twelve".