120928752 has 120 divisors (see below), whose sum is σ = 409589856. Its totient is φ = 32514048.

The previous prime is 120928741. The next prime is 120928763. The reversal of 120928752 is 257829021.

It is an interprime number because it is at equal distance from previous prime (120928741) and next prime (120928763).

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 23 ways as a sum of consecutive naturals, for example, 13608 + ... + 20664.

Almost surely, 2^120928752 is an apocalyptic number.

120928752 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 120928752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204794928).

120928752 is an abundant number, since it is smaller than the sum of its proper divisors (288661104).

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

120928752 is a wasteful number, since it uses less digits than its factorization.

120928752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7095 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 120928752 is about 10996.7609776697. The cubic root of 120928752 is about 494.5116456946.

The spelling of 120928752 in words is "one hundred twenty million, nine hundred twenty-eight thousand, seven hundred fifty-two".