120766505640000 has 1120 divisors, whose sum is σ = 445577991800832. Its totient is φ = 28606848000000.

The previous prime is 120766505639993. The next prime is 120766505640019. The reversal of 120766505640000 is 46505667021.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50934838815 + ... + 50934841185.

Almost surely, 2^{120766505640000} is an apocalyptic number.

120766505640000 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 120766505640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222788995900416).

120766505640000 is an abundant number, since it is smaller than the sum of its proper divisors (324811486160832).

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

120766505640000 is a wasteful number, since it uses less digits than its factorization.

120766505640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3260 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 120766505640000 in words is "one hundred twenty trillion, seven hundred sixty-six billion, five hundred five million, six hundred forty thousand".