12224610142956 has 240 divisors, whose sum is σ = 34261416161280. Its totient is φ = 3794095779840.

The previous prime is 12224610142873. The next prime is 12224610143077. The reversal of 12224610142956 is 65924101642221.

12224610142956 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 4 + 610 + 1 + 4 + 29 + 5 + 6 = 666.

12224610142956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27632556 + ... + 28071468.

It is an arithmetic number, because the mean of its divisors is an integer number (142755900672).

Almost surely, 2^{12224610142956} 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 12224610142956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17130708080640).

12224610142956 is an abundant number, since it is smaller than the sum of its proper divisors (22036806018324).

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

12224610142956 is a wasteful number, since it uses less digits than its factorization.

12224610142956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439066 (or 439055 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 12224610142956 in words is "twelve trillion, two hundred twenty-four billion, six hundred ten million, one hundred forty-two thousand, nine hundred fifty-six".