120892508416 has 81 divisors (see below), whose sum is σ = 249704380569. Its totient is φ = 58412928000.

The previous prime is 120892508413. The next prime is 120892508417. The reversal of 120892508416 is 614805298021.

The square root of 120892508416 is 347696.

It is a perfect power (a square), and thus also a powerful number.

120892508416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 104261826816 + 16630681600 = 322896^2 + 128960^2 .

It is a super-2 number, since 2×120892508416² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120892508413) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 172456866 + ... + 172457566.

Almost surely, 2^120892508416 is an apocalyptic number.

120892508416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120892508416 is the 347696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120892508416

120892508416 is an abundant number, since it is smaller than the sum of its proper divisors (128811872153).

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

120892508416 is an frugal number, since it uses more digits than its factorization.

120892508416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 120892508416 in words is "one hundred twenty billion, eight hundred ninety-two million, five hundred eight thousand, four hundred sixteen".