12442146324300 has 864 divisors, whose sum is σ = 49973156513280. Its totient is φ = 2514090700800.

The previous prime is 12442146324299. The next prime is 12442146324323. The reversal of 12442146324300 is 342364124421.

12442146324300 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 2 + 14 + 632 + 4 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 682387984 + ... + 682406216.

It is an arithmetic number, because the mean of its divisors is an integer number (57839301520).

Almost surely, 2^{12442146324300} is an apocalyptic number.

12442146324300 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 12442146324300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24986578256640).

12442146324300 is an abundant number, since it is smaller than the sum of its proper divisors (37531010188980).

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

12442146324300 is a wasteful number, since it uses less digits than its factorization.

12442146324300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18543 (or 18533 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 12442146324300 in words is "twelve trillion, four hundred forty-two billion, one hundred forty-six million, three hundred twenty-four thousand, three hundred".