12694528900 has 81 divisors (see below), whose sum is σ = 29122394511. Its totient is φ = 4802446080.

The previous prime is 12694528883. The next prime is 12694529041. The reversal of 12694528900 is 982549621.

The square root of 12694528900 is 112670.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8561476 + 12685967424 = 2926^2 + 112632^2 .

It is a super-2 number, since 2×12694528900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21407004 + ... + 21407596.

Almost surely, 2^12694528900 is an apocalyptic number.

12694528900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12694528900 is the 112670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12694528900

12694528900 is an abundant number, since it is smaller than the sum of its proper divisors (16427865611).

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

12694528900 is an equidigital number, since it uses as much as digits as its factorization.

12694528900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 46.

The spelling of 12694528900 in words is "twelve billion, six hundred ninety-four million, five hundred twenty-eight thousand, nine hundred".