12122454795264 has 2112 divisors, whose sum is σ = 44868424753152. Its totient is φ = 3223270195200.

The previous prime is 12122454795233. The next prime is 12122454795277. The reversal of 12122454795264 is 46259745422121.

12122454795264 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 4 + 547 + 95 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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 12122454795264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50300642184 + ... + 50300642424.

It is an arithmetic number, because the mean of its divisors is an integer number (21244519296).

Almost surely, 2^{12122454795264} 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 12122454795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22434212376576).

12122454795264 is an abundant number, since it is smaller than the sum of its proper divisors (32745969957888).

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

12122454795264 is a wasteful number, since it uses less digits than its factorization.

12122454795264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 344 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 12122454795264 in words is "twelve trillion, one hundred twenty-two billion, four hundred fifty-four million, seven hundred ninety-five thousand, two hundred sixty-four".