12298282905600 has 936 divisors, whose sum is σ = 45629481817920. Its totient is φ = 3163833630720.

The previous prime is 12298282905599. The next prime is 12298282905613. The reversal of 12298282905600 is 650928289221.

It is a happy number.

12298282905600 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 8 + 2 + 8 + 29 + 0 + 5 + 600 = 666.

It is a super-2 number, since 2×12298282905600² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3289188531 + ... + 3289192269.

Almost surely, 2^{12298282905600} is an apocalyptic number.

12298282905600 is a gapful number since it is divisible by the number (10) 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 12298282905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22814740908960).

12298282905600 is an abundant number, since it is smaller than the sum of its proper divisors (33331198912320).

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

12298282905600 is a wasteful number, since it uses less digits than its factorization.

12298282905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3905 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 12298282905600 in words is "twelve trillion, two hundred ninety-eight billion, two hundred eighty-two million, nine hundred five thousand, six hundred".