22010112000 has 576 divisors, whose sum is σ = 81618198480. Its totient is φ = 5701632000.

The previous prime is 22010111999. The next prime is 22010112023. The reversal of 22010112000 is 21101022.

It can be written as a sum of positive squares in 8 ways, for example, as 1467196416 + 20542915584 = 38304^2 + 143328^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94463884 + ... + 94464116.

Almost surely, 2^22010112000 is an apocalyptic number.

22010112000 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 22010112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40809099240).

22010112000 is an abundant number, since it is smaller than the sum of its proper divisors (59608086480).

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

22010112000 is a wasteful number, since it uses less digits than its factorization.

22010112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22010112000 its reverse (21101022), we get a palindrome (22031213022).

The spelling of 22010112000 in words is "twenty-two billion, ten million, one hundred twelve thousand".