120179496960 has 384 divisors, whose sum is σ = 445798080000. Its totient is φ = 30652858368.

The previous prime is 120179496959. The next prime is 120179497033. The reversal of 120179496960 is 69694971021.

It is a happy number.

120179496960 is a `hidden beast` number, since 1 + 20 + 1 + 79 + 496 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×120179496960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 120179496897 and 120179496906.

It is a congruent number.

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, 6349591 + ... + 6368489.

It is an arithmetic number, because the mean of its divisors is an integer number (1160932500).

Almost surely, 2^120179496960 is an apocalyptic number.

120179496960 is a gapful number since it is divisible by the number (10) 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 120179496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040000).

120179496960 is an abundant number, since it is smaller than the sum of its proper divisors (325618583040).

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

120179496960 is a wasteful number, since it uses less digits than its factorization.

120179496960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18958 (or 18932 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 120179496960 in words is "one hundred twenty billion, one hundred seventy-nine million, four hundred ninety-six thousand, nine hundred sixty".