12916789028900 has 36 divisors (see below), whose sum is σ = 28029610747908. Its totient is φ = 5166682698240.

The previous prime is 12916789028791. The next prime is 12916789028917. The reversal of 12916789028900 is 982098761921.

It can be written as a sum of positive squares in 6 ways, for example, as 445113140224 + 12471675888676 = 667168^2 + 3531526^2 .

It is a super-2 number, since 2×12916789028900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20811872 + ... + 21423528.

It is an arithmetic number, because the mean of its divisors is an integer number (778600298553).

Almost surely, 2^{12916789028900} is an apocalyptic number.

12916789028900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12916789028900 is an abundant number, since it is smaller than the sum of its proper divisors (15112821719008).

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

12916789028900 is a wasteful number, since it uses less digits than its factorization.

12916789028900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822848 (or 822841 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 62.

The spelling of 12916789028900 in words is "twelve trillion, nine hundred sixteen billion, seven hundred eighty-nine million, twenty-eight thousand, nine hundred".