12698766601920 has 3360 divisors, whose sum is σ = 58283229818880. Its totient is φ = 2607301509120.

The previous prime is 12698766601909. The next prime is 12698766601949. The reversal of 12698766601920 is 2910666789621.

12698766601920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×12698766601920² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 33505980291 + ... + 33505980669.

Almost surely, 2^{12698766601920} is an apocalyptic number.

12698766601920 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 12698766601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29141614909440).

12698766601920 is an abundant number, since it is smaller than the sum of its proper divisors (45584463216960).

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

12698766601920 is a wasteful number, since it uses less digits than its factorization.

12698766601920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 12698766601920 in words is "twelve trillion, six hundred ninety-eight billion, seven hundred sixty-six million, six hundred one thousand, nine hundred twenty".