12697035624100 has 81 divisors (see below), whose sum is σ = 27658830614121. Its totient is φ = 5059301673600.

The previous prime is 12697035624037. The next prime is 12697035624103. The reversal of 12697035624100 is 142653079621.

It is a happy number.

The square root of 12697035624100 is 3563290.

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

It can be written as a sum of positive squares in 13 ways, for example, as 4063264188516 + 8633771435584 = 2015754^2 + 2938328^2 .

It is a super-2 number, since 2×12697035624100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12697035624103) 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, 12435881590 + ... + 12435882610.

Almost surely, 2^{12697035624100} is an apocalyptic number.

12697035624100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12697035624100 is the 3563290-th square number.

It is an amenable number.

12697035624100 is an abundant number, since it is smaller than the sum of its proper divisors (14961794990021).

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

12697035624100 is an frugal number, since it uses more digits than its factorization.

12697035624100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 12697035624100 in words is "twelve trillion, six hundred ninety-seven billion, thirty-five million, six hundred twenty-four thousand, one hundred".