12012918118992 has 320 divisors, whose sum is σ = 41655143424000. Its totient is φ = 3238008141312.

The previous prime is 12012918118961. The next prime is 12012918118997. The reversal of 12012918118992 is 29981181921021.

12012918118992 is a `hidden beast` number, since 12 + 0 + 1 + 291 + 81 + 189 + 92 = 666.

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 (12012918118997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13294578 + ... + 14169390.

It is an arithmetic number, because the mean of its divisors is an integer number (130172323200).

Almost surely, 2^{12012918118992} is an apocalyptic number.

12012918118992 is a gapful number since it is divisible by the number (12) 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 12012918118992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20827571712000).

12012918118992 is an abundant number, since it is smaller than the sum of its proper divisors (29642225305008).

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

12012918118992 is a wasteful number, since it uses less digits than its factorization.

12012918118992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875095 (or 875083 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 54.

The spelling of 12012918118992 in words is "twelve trillion, twelve billion, nine hundred eighteen million, one hundred eighteen thousand, nine hundred ninety-two".