12514896900 has 405 divisors, whose sum is σ = 44989767823. Its totient is φ = 3007065600.

The previous prime is 12514896887. The next prime is 12514896907. The reversal of 12514896900 is 969841521.

The square root of 12514896900 is 111870.

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 6367082436 + 6147814464 = 79794^2 + 78408^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×12514896900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12514896907) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 110751244 + ... + 110751356.

Almost surely, 2^12514896900 is an apocalyptic number.

12514896900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12514896900 is the 111870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12514896900

12514896900 is an abundant number, since it is smaller than the sum of its proper divisors (32474870923).

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

12514896900 is a wasteful number, since it uses less digits than its factorization.

12514896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 12514896900 in words is "twelve billion, five hundred fourteen million, eight hundred ninety-six thousand, nine hundred".