12676548961020 has 384 divisors, whose sum is σ = 41119335290880. Its totient is φ = 2858223697920.

The previous prime is 12676548961001. The next prime is 12676548961039. The reversal of 12676548961020 is 2016984567621.

It is an interprime number because it is at equal distance from previous prime (12676548961001) and next prime (12676548961039).

It is a super-2 number, since 2×12676548961020² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10247815842 + ... + 10247817078.

It is an arithmetic number, because the mean of its divisors is an integer number (107081602320).

Almost surely, 2^{12676548961020} is an apocalyptic number.

12676548961020 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 12676548961020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20559667645440).

12676548961020 is an abundant number, since it is smaller than the sum of its proper divisors (28442786329860).

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

12676548961020 is a wasteful number, since it uses less digits than its factorization.

12676548961020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 12676548961020 in words is "twelve trillion, six hundred seventy-six billion, five hundred forty-eight million, nine hundred sixty-one thousand, twenty".