12283134324624 has 320 divisors, whose sum is σ = 37985668761600. Its totient is φ = 3792713932800.

The previous prime is 12283134324623. The next prime is 12283134324707. The reversal of 12283134324624 is 42642343138221.

It is a happy number.

12283134324624 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 3 + 13 + 4 + 3 + 2 + 4 + 624 = 666.

It is a super-2 number, since 2×12283134324624² (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 12283134324624.

It is not an unprimeable number, because it can be changed into a prime (12283134324623) 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, 28889772 + ... + 29311860.

It is an arithmetic number, because the mean of its divisors is an integer number (118705214880).

Almost surely, 2^{12283134324624} 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 12283134324624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18992834380800).

12283134324624 is an abundant number, since it is smaller than the sum of its proper divisors (25702534436976).

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

12283134324624 is a wasteful number, since it uses less digits than its factorization.

12283134324624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422231 (or 422219 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 12283134324624 in words is "twelve trillion, two hundred eighty-three billion, one hundred thirty-four million, three hundred twenty-four thousand, six hundred twenty-four".