120164599726080 has 2880 divisors, whose sum is σ = 517882569019200. Its totient is φ = 23574538616832.

The previous prime is 120164599726057. The next prime is 120164599726091. The reversal of 120164599726080 is 80627995461021.

It is a super-2 number, since 2×120164599726080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1447766261719 + ... + 1447766261801.

It is an arithmetic number, because the mean of its divisors is an integer number (179820336465).

Almost surely, 2^{120164599726080} is an apocalyptic number.

120164599726080 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 120164599726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258941284509600).

120164599726080 is an abundant number, since it is smaller than the sum of its proper divisors (397717969293120).

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

120164599726080 is an frugal number, since it uses more digits than its factorization.

120164599726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 120164599726080 in words is "one hundred twenty trillion, one hundred sixty-four billion, five hundred ninety-nine million, seven hundred twenty-six thousand, eighty".