120031460164 has 96 divisors (see below), whose sum is σ = 267482880000. Its totient is φ = 46721515680.

The previous prime is 120031460147. The next prime is 120031460179. The reversal of 120031460164 is 461064130021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19359937 + ... + 19366135.

It is an arithmetic number, because the mean of its divisors is an integer number (2786280000).

Almost surely, 2^120031460164 is an apocalyptic number.

120031460164 is a gapful number since it is divisible by the number (14) 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 120031460164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133741440000).

120031460164 is an abundant number, since it is smaller than the sum of its proper divisors (147451419836).

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

120031460164 is a wasteful number, since it uses less digits than its factorization.

120031460164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7518 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 120031460164 its reverse (461064130021), we get a palindrome (581095590185).

The spelling of 120031460164 in words is "one hundred twenty billion, thirty-one million, four hundred sixty thousand, one hundred sixty-four".