120807146772 has 54 divisors (see below), whose sum is σ = 330670860702. Its totient is φ = 37171427904.

The previous prime is 120807146753. The next prime is 120807146827. The reversal of 120807146772 is 277641708021.

It can be written as a sum of positive squares in 3 ways, for example, as 511935876 + 120295210896 = 22626^2 + 346836^2 .

It is a super-2 number, since 2×120807146772² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9922183 + ... + 9934350.

Almost surely, 2^120807146772 is an apocalyptic number.

120807146772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

120807146772 is an abundant number, since it is smaller than the sum of its proper divisors (209863713930).

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

120807146772 is a wasteful number, since it uses less digits than its factorization.

120807146772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19856569 (or 19856551 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 120807146772 in words is "one hundred twenty billion, eight hundred seven million, one hundred forty-six thousand, seven hundred seventy-two".