12110668954752 has 512 divisors, whose sum is σ = 35466140666880. Its totient is φ = 3646123278336.

The previous prime is 12110668954751. The next prime is 12110668954771. The reversal of 12110668954752 is 25745986601121.

It is a junction number, because it is equal to n+sod(n) for n = 12110668954692 and 12110668954701.

It is not an unprimeable number, because it can be changed into a prime (12110668954751) 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, 11039807068 + ... + 11039808164.

It is an arithmetic number, because the mean of its divisors is an integer number (69269805990).

Almost surely, 2^{12110668954752} is an apocalyptic number.

12110668954752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110668954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17733070333440).

12110668954752 is an abundant number, since it is smaller than the sum of its proper divisors (23355471712128).

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

12110668954752 is a wasteful number, since it uses less digits than its factorization.

12110668954752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 12110668954752 in words is "twelve trillion, one hundred ten billion, six hundred sixty-eight million, nine hundred fifty-four thousand, seven hundred fifty-two".