22412052000 has 960 divisors, whose sum is σ = 94098068064. Its totient is φ = 5175705600.

The previous prime is 22412051993. The next prime is 22412052041. The reversal of 22412052000 is 25021422.

22412052000 is a `hidden beast` number, since 2 + 24 + 120 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 7421477904 + 14990574096 = 86148^2 + 122436^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71603844 + ... + 71604156.

Almost surely, 2^22412052000 is an apocalyptic number.

22412052000 is a gapful number since it is divisible by the number (20) 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 22412052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47049034032).

22412052000 is an abundant number, since it is smaller than the sum of its proper divisors (71686016064).

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

22412052000 is a wasteful number, since it uses less digits than its factorization.

22412052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 22412052000 its reverse (25021422), we get a palindrome (22437073422).

The spelling of 22412052000 in words is "twenty-two billion, four hundred twelve million, fifty-two thousand".