12122861890464 has 1152 divisors, whose sum is σ = 42016278528000. Its totient is φ = 3369553551360.

The previous prime is 12122861890463. The next prime is 12122861890481. The reversal of 12122861890464 is 46409816822121.

12122861890464 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 86 + 18 + 90 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12122861890464.

It is not an unprimeable number, because it can be changed into a prime (12122861890463) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16860725497 + ... + 16860726215.

It is an arithmetic number, because the mean of its divisors is an integer number (36472464000).

Almost surely, 2^{12122861890464} 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 12122861890464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21008139264000).

12122861890464 is an abundant number, since it is smaller than the sum of its proper divisors (29893416637536).

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

12122861890464 is a wasteful number, since it uses less digits than its factorization.

12122861890464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 899 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 12122861890464 in words is "twelve trillion, one hundred twenty-two billion, eight hundred sixty-one million, eight hundred ninety thousand, four hundred sixty-four".