12242737103904 has 384 divisors, whose sum is σ = 40874037523200. Its totient is φ = 3540361789440.

The previous prime is 12242737103897. The next prime is 12242737103917. The reversal of 12242737103904 is 40930173724221.

12242737103904 is a `hidden beast` number, since 1 + 2 + 2 + 427 + 37 + 103 + 90 + 4 = 666.

It is a super-2 number, since 2×12242737103904² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12242737103904.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9732834 + ... + 10918494.

It is an arithmetic number, because the mean of its divisors is an integer number (106442806050).

Almost surely, 2^{12242737103904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12242737103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20437018761600).

12242737103904 is an abundant number, since it is smaller than the sum of its proper divisors (28631300419296).

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

12242737103904 is a wasteful number, since it uses less digits than its factorization.

12242737103904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185753 (or 1185739 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 12242737103904 in words is "twelve trillion, two hundred forty-two billion, seven hundred thirty-seven million, one hundred three thousand, nine hundred four".