120386165760 has 1056 divisors, whose sum is σ = 516735378432. Its totient is φ = 26276659200.

The previous prime is 120386165749. The next prime is 120386165777. The reversal of 120386165760 is 67561683021.

120386165760 is a `hidden beast` number, since 1 + 20 + 3 + 8 + 616 + 5 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200309460 + ... + 200310060.

Almost surely, 2^120386165760 is an apocalyptic number.

120386165760 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 120386165760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258367689216).

120386165760 is an abundant number, since it is smaller than the sum of its proper divisors (396349212672).

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

120386165760 is an equidigital number, since it uses as much as digits as its factorization.

120386165760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 1203861 and 65760, that added together give a palindrome (1269621).

The spelling of 120386165760 in words is "one hundred twenty billion, three hundred eighty-six million, one hundred sixty-five thousand, seven hundred sixty".