12116297593400 has 1152 divisors, whose sum is σ = 38971015695360. Its totient is φ = 3400869888000.

The previous prime is 12116297593349. The next prime is 12116297593429. The reversal of 12116297593400 is 439579261121.

It is a Harshad number since it is a multiple of its sum of digits (50).

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 287 ways as a sum of consecutive naturals, for example, 26512685972 + ... + 26512686428.

It is an arithmetic number, because the mean of its divisors is an integer number (33829006680).

Almost surely, 2^{12116297593400} is an apocalyptic number.

12116297593400 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 12116297593400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19485507847680).

12116297593400 is an abundant number, since it is smaller than the sum of its proper divisors (26854718101960).

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

12116297593400 is a wasteful number, since it uses less digits than its factorization.

12116297593400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The spelling of 12116297593400 in words is "twelve trillion, one hundred sixteen billion, two hundred ninety-seven million, five hundred ninety-three thousand, four hundred".