25456126122 has 120 divisors (see below), whose sum is σ = 66833585280. Its totient is φ = 7220540880.

The previous prime is 25456126081. The next prime is 25456126181. The reversal of 25456126122 is 22162165452.

25456126122 is a `hidden beast` number, since 2 + 54 + 561 + 26 + 1 + 22 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1091847 + ... + 1114917.

It is an arithmetic number, because the mean of its divisors is an integer number (556946544).

Almost surely, 2^25456126122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25456126122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33416792640).

25456126122 is an abundant number, since it is smaller than the sum of its proper divisors (41377459158).

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

25456126122 is a wasteful number, since it uses less digits than its factorization.

25456126122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238 (or 23222 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The spelling of 25456126122 in words is "twenty-five billion, four hundred fifty-six million, one hundred twenty-six thousand, one hundred twenty-two".