120261124727296 has 720 divisors, whose sum is σ = 323343638164800. Its totient is φ = 44369450237952.

The previous prime is 120261124727273. The next prime is 120261124727377. The reversal of 120261124727296 is 692727421162021.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3994972981 + ... + 3995003083.

It is an arithmetic number, because the mean of its divisors is an integer number (449088386340).

Almost surely, 2^{120261124727296} is an apocalyptic number.

120261124727296 is a gapful number since it is divisible by the number (16) 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 120261124727296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161671819082400).

120261124727296 is an abundant number, since it is smaller than the sum of its proper divisors (203082513437504).

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

120261124727296 is a wasteful number, since it uses less digits than its factorization.

120261124727296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30217 (or 30177 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 52.

The spelling of 120261124727296 in words is "one hundred twenty trillion, two hundred sixty-one billion, one hundred twenty-four million, seven hundred twenty-seven thousand, two hundred ninety-six".