120253056 has 256 divisors, whose sum is σ = 411264000. Its totient is φ = 30858240.

The previous prime is 120253043. The next prime is 120253057. The reversal of 120253056 is 650352021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (120253057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1448791 + ... + 1448873.

It is an arithmetic number, because the mean of its divisors is an integer number (1606500).

Almost surely, 2^120253056 is an apocalyptic number.

120253056 is a gapful number since it is divisible by the number (16) 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 120253056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205632000).

120253056 is an abundant number, since it is smaller than the sum of its proper divisors (291010944).

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

120253056 is an equidigital number, since it uses as much as digits as its factorization.

120253056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 120253056 is about 10965.9954404514. The cubic root of 120253056 is about 493.5888879674.

The spelling of 120253056 in words is "one hundred twenty million, two hundred fifty-three thousand, fifty-six".