22413312000 has 504 divisors, whose sum is σ = 85060444560. Its totient is φ = 5662310400.

The previous prime is 22413311969. The next prime is 22413312001. The reversal of 22413312000 is 21331422.

22413312000 is a `hidden beast` number, since 22 + 413 + 31 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22413312001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1179647991 + ... + 1179648009.

Almost surely, 2^22413312000 is an apocalyptic number.

22413312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22413312000 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22413312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42530222280).

22413312000 is an abundant number, since it is smaller than the sum of its proper divisors (62647132560).

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

22413312000 is an frugal number, since it uses more digits than its factorization.

22413312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22413312000 its reverse (21331422), we get a palindrome (22434643422).

The spelling of 22413312000 in words is "twenty-two billion, four hundred thirteen million, three hundred twelve thousand".