120948520 has 128 divisors (see below), whose sum is σ = 343388160. Its totient is φ = 37244160.

The previous prime is 120948479. The next prime is 120948539. The reversal of 120948520 is 25849021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 329377 + ... + 329743.

It is an arithmetic number, because the mean of its divisors is an integer number (2682720).

Almost surely, 2^120948520 is an apocalyptic number.

120948520 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 120948520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171694080).

120948520 is an abundant number, since it is smaller than the sum of its proper divisors (222439640).

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

120948520 is a wasteful number, since it uses less digits than its factorization.

120948520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 120948520 is about 10997.6597510561. The cubic root of 120948520 is about 494.5385898619.

It can be divided in two parts, 1209 and 48520, that added together give a square (49729 = 223²).

The spelling of 120948520 in words is "one hundred twenty million, nine hundred forty-eight thousand, five hundred twenty".