12517656280900 has 243 divisors, whose sum is σ = 28601557872069. Its totient is φ = 4755112320000.

The previous prime is 12517656280897. The next prime is 12517656280901. The reversal of 12517656280900 is 908265671521.

It is a happy number.

The square root of 12517656280900 is 3538030.

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 8789173339716 + 3728482941184 = 2964654^2 + 1930928^2 .

It is not an unprimeable number, because it can be changed into a prime (12517656280901) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 110775719244 + ... + 110775719356.

Almost surely, 2^{12517656280900} is an apocalyptic number.

12517656280900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12517656280900 is the 3538030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12517656280900

12517656280900 is an abundant number, since it is smaller than the sum of its proper divisors (16083901591169).

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

12517656280900 is a wasteful number, since it uses less digits than its factorization.

12517656280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 12517656280900 in words is "twelve trillion, five hundred seventeen billion, six hundred fifty-six million, two hundred eighty thousand, nine hundred".