12117835563400 has 576 divisors, whose sum is σ = 35394734592000. Its totient is φ = 3835747238400.

The previous prime is 12117835563341. The next prime is 12117835563409. The reversal of 12117835563400 is 436553871121.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (12117835563409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2927718531 + ... + 2927722669.

It is an arithmetic number, because the mean of its divisors is an integer number (61449192000).

Almost surely, 2^{12117835563400} is an apocalyptic number.

12117835563400 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 12117835563400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17697367296000).

12117835563400 is an abundant number, since it is smaller than the sum of its proper divisors (23276899028600).

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

12117835563400 is a wasteful number, since it uses less digits than its factorization.

12117835563400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4626 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The spelling of 12117835563400 in words is "twelve trillion, one hundred seventeen billion, eight hundred thirty-five million, five hundred sixty-three thousand, four hundred".