120929760 has 480 divisors, whose sum is σ = 515192832. Its totient is φ = 26127360.

The previous prime is 120929719. The next prime is 120929807. The reversal of 120929760 is 67929021.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 2812299 + ... + 2812341.

Almost surely, 2^120929760 is an apocalyptic number.

120929760 is a gapful number since it is divisible by the number (10) 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 120929760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257596416).

120929760 is an abundant number, since it is smaller than the sum of its proper divisors (394263072).

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

120929760 is a wasteful number, since it uses less digits than its factorization.

120929760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 120929760 is about 10996.8068092515. The cubic root of 120929760 is about 494.5130196891.

The spelling of 120929760 in words is "one hundred twenty million, nine hundred twenty-nine thousand, seven hundred sixty".