12975052368100 has 81 divisors (see below), whose sum is σ = 29162582362641. Its totient is φ = 5010651273600.

The previous prime is 12975052368079. The next prime is 12975052368119. The reversal of 12975052368100 is 186325057921.

The square root of 12975052368100 is 3602090.

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 1112759155876 + 11862293212224 = 1054874^2 + 3444168^2 .

It is a super-3 number, since 3×12975052368100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1044599890 + ... + 1044612310.

Almost surely, 2^{12975052368100} is an apocalyptic number.

12975052368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12975052368100 is the 3602090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12975052368100

12975052368100 is an abundant number, since it is smaller than the sum of its proper divisors (16187529994541).

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

12975052368100 is an frugal number, since it uses more digits than its factorization.

12975052368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24914 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

Multiplying 12975052368100 by its sum of digits (49), we get a square (635777566036900 = 25214630²).

The spelling of 12975052368100 in words is "twelve trillion, nine hundred seventy-five billion, fifty-two million, three hundred sixty-eight thousand, one hundred".