12416456351124 has 144 divisors (see below), whose sum is σ = 36017098685568. Its totient is φ = 3532993265664.

The previous prime is 12416456351111. The next prime is 12416456351141. The reversal of 12416456351124 is 42115365461421.

12416456351124 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 6 + 4 + 5 + 635 + 1 + 1 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12416456351124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344720764 + ... + 344756780.

It is an arithmetic number, because the mean of its divisors is an integer number (250118740872).

Almost surely, 2^{12416456351124} is an apocalyptic number.

12416456351124 is a gapful number since it is divisible by the number (14) 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 12416456351124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008549342784).

12416456351124 is an abundant number, since it is smaller than the sum of its proper divisors (23600642334444).

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

12416456351124 is a wasteful number, since it uses less digits than its factorization.

12416456351124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41614 (or 41609 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 12416456351124 in words is "twelve trillion, four hundred sixteen billion, four hundred fifty-six million, three hundred fifty-one thousand, one hundred twenty-four".