120008952 has 96 divisors (see below), whose sum is σ = 385257600. Its totient is φ = 34284384.

The previous prime is 120008951. The next prime is 120008983. The reversal of 120008952 is 259800021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120008951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9199 + ... + 18017.

It is an arithmetic number, because the mean of its divisors is an integer number (4013100).

Almost surely, 2^120008952 is an apocalyptic number.

120008952 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 120008952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192628800).

120008952 is an abundant number, since it is smaller than the sum of its proper divisors (265248648).

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

120008952 is an equidigital number, since it uses as much as digits as its factorization.

120008952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8847 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 120008952 is about 10954.8597435111. The cubic root of 120008952 is about 493.2546798558.

Adding to 120008952 its reverse (259800021), we get a palindrome (379808973).

The spelling of 120008952 in words is "one hundred twenty million, eight thousand, nine hundred fifty-two".