120701952 has 132 divisors (see below), whose sum is σ = 398526336. Its totient is φ = 34467840.

The previous prime is 120701951. The next prime is 120701983. The reversal of 120701952 is 259107021.

It is a super-2 number, since 2×120701952² = 29137922433220608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120701951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63577 + ... + 65447.

Almost surely, 2^120701952 is an apocalyptic number.

120701952 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 120701952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199263168).

120701952 is an abundant number, since it is smaller than the sum of its proper divisors (277824384).

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

120701952 is a wasteful number, since it uses less digits than its factorization.

120701952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1883 counting only the distinct ones).

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

The square root of 120701952 is about 10986.4440106888. Note that the first 3 decimals coincide. The cubic root of 120701952 is about 494.2023025823.

Adding to 120701952 its reverse (259107021), we get a palindrome (379808973).

The spelling of 120701952 in words is "one hundred twenty million, seven hundred one thousand, nine hundred fifty-two".