120772264680 has 128 divisors (see below), whose sum is σ = 402811718400. Its totient is φ = 32186937600.

The previous prime is 120772264663. The next prime is 120772264699. The reversal of 120772264680 is 86462277021.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848165 + ... + 1912395.

It is an arithmetic number, because the mean of its divisors is an integer number (3146966550).

Almost surely, 2^120772264680 is an apocalyptic number.

120772264680 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 120772264680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201405859200).

120772264680 is an abundant number, since it is smaller than the sum of its proper divisors (282039453720).

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

120772264680 is a wasteful number, since it uses less digits than its factorization.

120772264680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65992 (or 65982 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 120772264680 in words is "one hundred twenty billion, seven hundred seventy-two million, two hundred sixty-four thousand, six hundred eighty".