12117676806144 has 1040 divisors, whose sum is σ = 45467415347200. Its totient is φ = 3195480637440.

The previous prime is 12117676806089. The next prime is 12117676806149. The reversal of 12117676806144 is 44160867671121.

It is a happy number.

12117676806144 is a `hidden beast` number, since 1 + 2 + 1 + 17 + 6 + 7 + 6 + 8 + 0 + 614 + 4 = 666.

It is a super-2 number, since 2×12117676806144² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12117676806149) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1479385089 + ... + 1479393279.

Almost surely, 2^{12117676806144} is an apocalyptic number.

12117676806144 is a gapful number since it is divisible by the number (14) 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 12117676806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22733707673600).

12117676806144 is an abundant number, since it is smaller than the sum of its proper divisors (33349738541056).

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

12117676806144 is an frugal number, since it uses more digits than its factorization.

12117676806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8261 (or 8216 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 12117676806144 in words is "twelve trillion, one hundred seventeen billion, six hundred seventy-six million, eight hundred six thousand, one hundred forty-four".