120238560 has 192 divisors, whose sum is σ = 453418560. Its totient is φ = 29583360.

The previous prime is 120238537. The next prime is 120238579. The reversal of 120238560 is 65832021.

It is a super-2 number, since 2×120238560² = 28914622621747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 55090 + ... + 57230.

It is an arithmetic number, because the mean of its divisors is an integer number (2361555).

Almost surely, 2^120238560 is an apocalyptic number.

120238560 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 120238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226709280).

120238560 is an abundant number, since it is smaller than the sum of its proper divisors (333180000).

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

120238560 is a wasteful number, since it uses less digits than its factorization.

120238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 120238560 is about 10965.3344682230. The cubic root of 120238560 is about 493.5690538158.

The spelling of 120238560 in words is "one hundred twenty million, two hundred thirty-eight thousand, five hundred sixty".