120071952 has 480 divisors, whose sum is σ = 487468800. Its totient is φ = 27095040.

The previous prime is 120071951. The next prime is 120071957. The reversal of 120071952 is 259170021.

It is a super-3 number, since 3×120071952³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120071951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7063048 + ... + 7063064.

It is an arithmetic number, because the mean of its divisors is an integer number (1015560).

Almost surely, 2^120071952 is an apocalyptic number.

120071952 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 120071952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

120071952 is an abundant number, since it is smaller than the sum of its proper divisors (367396848).

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

120071952 is a wasteful number, since it uses less digits than its factorization.

120071952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

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

The square root of 120071952 is about 10957.7348024124. The cubic root of 120071952 is about 493.3409778866.

The spelling of 120071952 in words is "one hundred twenty million, seventy-one thousand, nine hundred fifty-two".