120097152 has 192 divisors, whose sum is σ = 403846560. Its totient is φ = 33546240.

The previous prime is 120097147. The next prime is 120097177. The reversal of 120097152 is 251790021.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×120097152² = 28846651837022208, which contains 22 as substring.

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, 427252 + ... + 427532.

Almost surely, 2^120097152 is an apocalyptic number.

120097152 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 120097152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201923280).

120097152 is an abundant number, since it is smaller than the sum of its proper divisors (283749408).

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

120097152 is a wasteful number, since it uses less digits than its factorization.

120097152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 120097152 is about 10958.8846147772. The cubic root of 120097152 is about 493.3754886467.

The spelling of 120097152 in words is "one hundred twenty million, ninety-seven thousand, one hundred fifty-two".