12612517577660 has 288 divisors, whose sum is σ = 36186247069056. Its totient is φ = 3592841472000.

The previous prime is 12612517577659. The next prime is 12612517577669. The reversal of 12612517577660 is 6677571521621.

It is a junction number, because it is equal to n+sod(n) for n = 12612517577596 and 12612517577605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12612517577669) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21958694 + ... + 22525746.

It is an arithmetic number, because the mean of its divisors is an integer number (125646691212).

Almost surely, 2^{12612517577660} is an apocalyptic number.

12612517577660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12612517577660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093123534528).

12612517577660 is an abundant number, since it is smaller than the sum of its proper divisors (23573729491396).

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

12612517577660 is a wasteful number, since it uses less digits than its factorization.

12612517577660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567205 (or 567192 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 56.

The spelling of 12612517577660 in words is "twelve trillion, six hundred twelve billion, five hundred seventeen million, five hundred seventy-seven thousand, six hundred sixty".