12612738342942 has 128 divisors (see below), whose sum is σ = 30085655040000. Its totient is φ = 3906949052160.

The previous prime is 12612738342929. The next prime is 12612738342947. The reversal of 12612738342942 is 24924383721621.

12612738342942 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 273 + 83 + 4 + 294 + 2 = 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 (12612738342947) 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, 11652184 + ... + 12688532.

It is an arithmetic number, because the mean of its divisors is an integer number (235044180000).

Almost surely, 2^{12612738342942} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12612738342942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15042827520000).

12612738342942 is an abundant number, since it is smaller than the sum of its proper divisors (17472916697058).

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

12612738342942 is a wasteful number, since it uses less digits than its factorization.

12612738342942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036663 (or 1036657 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The spelling of 12612738342942 in words is "twelve trillion, six hundred twelve billion, seven hundred thirty-eight million, three hundred forty-two thousand, nine hundred forty-two".