120349152 has 336 divisors, whose sum is σ = 449511552. Its totient is φ = 30792960.

The previous prime is 120349139. The next prime is 120349183. The reversal of 120349152 is 251943021.

120349152 is a `hidden beast` number, since 120 + 3 + 491 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1796223 + ... + 1796289.

It is an arithmetic number, because the mean of its divisors is an integer number (1337832).

Almost surely, 2^120349152 is an apocalyptic number.

120349152 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 120349152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224755776).

120349152 is an abundant number, since it is smaller than the sum of its proper divisors (329162400).

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

120349152 is an equidigital number, since it uses as much as digits as its factorization.

120349152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 120349152 is about 10970.3761102343. The cubic root of 120349152 is about 493.7203310272.

The spelling of 120349152 in words is "one hundred twenty million, three hundred forty-nine thousand, one hundred fifty-two".