120027076645760 has 128 divisors (see below), whose sum is σ = 312029850637440. Its totient is φ = 43965402808320.

The previous prime is 120027076645747. The next prime is 120027076645789. The reversal of 120027076645760 is 67546670720021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×120027076645760² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148677176 + ... + 149482295.

It is an arithmetic number, because the mean of its divisors is an integer number (2437733208105).

Almost surely, 2^{120027076645760} is an apocalyptic number.

120027076645760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120027076645760 is an abundant number, since it is smaller than the sum of its proper divisors (192002773991680).

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

120027076645760 is a wasteful number, since it uses less digits than its factorization.

120027076645760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298159544 (or 298159532 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 53.

The spelling of 120027076645760 in words is "one hundred twenty trillion, twenty-seven billion, seventy-six million, six hundred forty-five thousand, seven hundred sixty".