12789707112900 has 729 divisors, whose sum is σ = 43096199972007. Its totient is φ = 3172294540800.

The previous prime is 12789707112869. The next prime is 12789707112907. The reversal of 12789707112900 is 921170798721.

The square root of 12789707112900 is 3576270.

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

12789707112900 is a `hidden beast` number, since 1 + 278 + 9 + 70 + 7 + 11 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69984586116 + 12719722526784 = 264546^2 + 3566472^2 .

It is not an unprimeable number, because it can be changed into a prime (12789707112907) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 175201467264 + ... + 175201467336.

Almost surely, 2^{12789707112900} is an apocalyptic number.

12789707112900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12789707112900 is the 3576270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12789707112900

12789707112900 is an abundant number, since it is smaller than the sum of its proper divisors (30306492859107).

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

12789707112900 is a wasteful number, since it uses less digits than its factorization.

12789707112900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 12789707112900 in words is "twelve trillion, seven hundred eighty-nine billion, seven hundred seven million, one hundred twelve thousand, nine hundred".