22838112000 has 1008 divisors, whose sum is σ = 94099955040. Its totient is φ = 5474304000.

The previous prime is 22838111971. The next prime is 22838112007. The reversal of 22838112000 is 21183822.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22838112007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 256607956 + ... + 256608044.

It is an arithmetic number, because the mean of its divisors is an integer number (93353130).

Almost surely, 2^22838112000 is an apocalyptic number.

22838112000 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 22838112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47049977520).

22838112000 is an abundant number, since it is smaller than the sum of its proper divisors (71261843040).

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

22838112000 is an frugal number, since it uses more digits than its factorization.

22838112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 22838112000 its reverse (21183822), we get a palindrome (22859295822).

The spelling of 22838112000 in words is "twenty-two billion, eight hundred thirty-eight million, one hundred twelve thousand".