12692275600 has 135 divisors (see below), whose sum is σ = 31458958689. Its totient is φ = 4920988800.

The previous prime is 12692275573. The next prime is 12692275601. The reversal of 12692275600 is 657229621.

The square root of 12692275600 is 112660.

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

It can be written as a sum of positive squares in only one way, i.e., 4569219216 + 8123056384 = 67596^2 + 90128^2 .

It is a super-2 number, since 2×12692275600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12692275601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 96887535 + ... + 96887665.

Almost surely, 2^12692275600 is an apocalyptic number.

12692275600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12692275600 is the 112660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12692275600

12692275600 is an abundant number, since it is smaller than the sum of its proper divisors (18766683089).

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

12692275600 is an equidigital number, since it uses as much as digits as its factorization.

12692275600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 12692275600 in words is "twelve billion, six hundred ninety-two million, two hundred seventy-five thousand, six hundred".