12399671517600 has 288 divisors, whose sum is σ = 42819739361280. Its totient is φ = 3107881405440.

The previous prime is 12399671517577. The next prime is 12399671517601. The reversal of 12399671517600 is 671517699321.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (12399671517601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4720639 + ... + 6861761.

It is an arithmetic number, because the mean of its divisors is an integer number (148679650560).

Almost surely, 2^{12399671517600} is an apocalyptic number.

12399671517600 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 12399671517600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21409869680640).

12399671517600 is an abundant number, since it is smaller than the sum of its proper divisors (30420067843680).

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

12399671517600 is a wasteful number, since it uses less digits than its factorization.

12399671517600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141292 (or 2141279 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 57.

The spelling of 12399671517600 in words is "twelve trillion, three hundred ninety-nine billion, six hundred seventy-one million, five hundred seventeen thousand, six hundred".