12407907620196 has 405 divisors, whose sum is σ = 37084635290703. Its totient is φ = 3494869709760.

The previous prime is 12407907620179. The next prime is 12407907620209. The reversal of 12407907620196 is 69102670970421.

The square root of 12407907620196 is 3522486.

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

12407907620196 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 7 + 9 + 0 + 7 + 620 + 1 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2421802013796 + 9986105606400 = 1556214^2 + 3160080^2 .

It is a super-2 number, since 2×12407907620196² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 234111464506 + ... + 234111464558.

Almost surely, 2^{12407907620196} is an apocalyptic number.

12407907620196 is the 3522486-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12407907620196

12407907620196 is an abundant number, since it is smaller than the sum of its proper divisors (24676727670507).

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

12407907620196 is an frugal number, since it uses more digits than its factorization.

12407907620196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 12407907620196 in words is "twelve trillion, four hundred seven billion, nine hundred seven million, six hundred twenty thousand, one hundred ninety-six".