12130282450944 has 312 divisors, whose sum is σ = 41021023653792. Its totient is φ = 3381260451840.

The previous prime is 12130282450921. The next prime is 12130282450963. The reversal of 12130282450944 is 44905428203121.

12130282450944 is a `hidden beast` number, since 1 + 2 + 1 + 30 + 2 + 82 + 450 + 94 + 4 = 666.

It is a super-2 number, since 2×12130282450944² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12130282450944.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10006702 + ... + 11153234.

It is an arithmetic number, because the mean of its divisors is an integer number (131477639916).

Almost surely, 2^{12130282450944} is an apocalyptic number.

12130282450944 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 12130282450944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20510511826896).

12130282450944 is an abundant number, since it is smaller than the sum of its proper divisors (28890741202848).

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

12130282450944 is a wasteful number, since it uses less digits than its factorization.

12130282450944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146611 (or 1146586 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12130282450944 in words is "twelve trillion, one hundred thirty billion, two hundred eighty-two million, four hundred fifty thousand, nine hundred forty-four".