120607053952 has 384 divisors, whose sum is σ = 313211808000. Its totient is φ = 46197043200.

The previous prime is 120607053943. The next prime is 120607054021. The reversal of 120607053952 is 259350706021.

It is a super-2 number, since 2×120607053952² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 387803877 + ... + 387804187.

It is an arithmetic number, because the mean of its divisors is an integer number (815655750).

Almost surely, 2^120607053952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120607053952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156605904000).

120607053952 is an abundant number, since it is smaller than the sum of its proper divisors (192604754048).

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

120607053952 is an equidigital number, since it uses as much as digits as its factorization.

120607053952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 40.

Adding to 120607053952 its reverse (259350706021), we get a palindrome (379957759973).

The spelling of 120607053952 in words is "one hundred twenty billion, six hundred seven million, fifty-three thousand, nine hundred fifty-two".