120832712100 has 81 divisors (see below), whose sum is σ = 378776112897. Its totient is φ = 32219275680.

The previous prime is 120832712089. The next prime is 120832712101. The reversal of 120832712100 is 1217238021.

The square root of 120832712100 is 347610.

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

120832712100 is a `hidden beast` number, since 120 + 8 + 327 + 1 + 210 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43499776356 + 77332935744 = 208566^2 + 278088^2 .

It is not an unprimeable number, because it can be changed into a prime (120832712101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10422507 + ... + 10434093.

Almost surely, 2^120832712100 is an apocalyptic number.

120832712100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120832712100 is the 347610-th square number.

It is an amenable number.

120832712100 is an abundant number, since it is smaller than the sum of its proper divisors (257943400797).

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

120832712100 is an equidigital number, since it uses as much as digits as its factorization.

120832712100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23194 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 120832712100 in words is "one hundred twenty billion, eight hundred thirty-two million, seven hundred twelve thousand, one hundred".