120451337721 has 81 divisors (see below), whose sum is σ = 207338659437. Its totient is φ = 67302069120.

The previous prime is 120451337707. The next prime is 120451337779. The reversal of 120451337721 is 127733154021.

The square root of 120451337721 is 347061.

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

120451337721 is a `hidden beast` number, since 1 + 204 + 51 + 337 + 72 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206066025 + 120245271696 = 14355^2 + 346764^2 .

It is not a de Polignac number, because 120451337721 - 2⁷ = 120451337593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (120451337701) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 148888765 + ... + 148889573.

Almost surely, 2^120451337721 is an apocalyptic number.

120451337721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120451337721 is the 347061-st square number.

120451337721 is the 173531-st centered octagonal number.

It is an amenable number.

120451337721 is a deficient number, since it is larger than the sum of its proper divisors (86887321716).

120451337721 is an equidigital number, since it uses as much as digits as its factorization.

120451337721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 120451337721 by its sum of digits (36), we get a square (4336248157956 = 2082366²).

The spelling of 120451337721 in words is "one hundred twenty billion, four hundred fifty-one million, three hundred thirty-seven thousand, seven hundred twenty-one".