12601669893120 has 2464 divisors, whose sum is σ = 57064773818880. Its totient is φ = 2592789626880.

The previous prime is 12601669893103. The next prime is 12601669893187. The reversal of 12601669893120 is 2139896610621.

12601669893120 is a `hidden beast` number, since 1 + 2 + 601 + 6 + 6 + 9 + 8 + 9 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2464).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 46846356346 + ... + 46846356614.

Almost surely, 2^{12601669893120} is an apocalyptic number.

12601669893120 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 12601669893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28532386909440).

12601669893120 is an abundant number, since it is smaller than the sum of its proper divisors (44463103925760).

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

12601669893120 is a wasteful number, since it uses less digits than its factorization.

12601669893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 12601669893120 in words is "twelve trillion, six hundred one billion, six hundred sixty-nine million, eight hundred ninety-three thousand, one hundred twenty".