12442195800 has 216 divisors, whose sum is σ = 42275223900. Its totient is φ = 3279277440.

The previous prime is 12442195789. The next prime is 12442195823. The reversal of 12442195800 is 859124421.

12442195800 is a `hidden beast` number, since 1 + 24 + 42 + 19 + 580 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 55794489 + ... + 55794711.

Almost surely, 2^12442195800 is an apocalyptic number.

12442195800 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 12442195800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21137611950).

12442195800 is an abundant number, since it is smaller than the sum of its proper divisors (29833028100).

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

12442195800 is a wasteful number, since it uses less digits than its factorization.

12442195800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12442195800 in words is "twelve billion, four hundred forty-two million, one hundred ninety-five thousand, eight hundred".