120589152 has 48 divisors (see below), whose sum is σ = 319706352. Its totient is φ = 39795200.

The previous prime is 120589129. The next prime is 120589153. The reversal of 120589152 is 251985021.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120589153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3478 + ... + 15914.

It is an arithmetic number, because the mean of its divisors is an integer number (6660549).

Almost surely, 2^120589152 is an apocalyptic number.

120589152 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 120589152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159853176).

120589152 is an abundant number, since it is smaller than the sum of its proper divisors (199117200).

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

120589152 is a wasteful number, since it uses less digits than its factorization.

120589152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12551 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 33.

The square root of 120589152 is about 10981.3092115649. The cubic root of 120589152 is about 494.0483050886.

The spelling of 120589152 in words is "one hundred twenty million, five hundred eighty-nine thousand, one hundred fifty-two".