22000100112000 has 768 divisors, whose sum is σ = 83807211945600. Its totient is φ = 5511573504000.

The previous prime is 22000100111981. The next prime is 22000100112041. The reversal of 22000100112000 is 21100100022.

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 95 ways as a sum of consecutive naturals, for example, 1397800131 + ... + 1397815869.

Almost surely, 2^{22000100112000} is an apocalyptic number.

22000100112000 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 22000100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41903605972800).

22000100112000 is an abundant number, since it is smaller than the sum of its proper divisors (61807111833600).

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

22000100112000 is a wasteful number, since it uses less digits than its factorization.

22000100112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16362 (or 16337 counting only the distinct ones).

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

Adding to 22000100112000 its reverse (21100100022), we get a palindrome (22021200212022).

The spelling of 22000100112000 in words is "twenty-two trillion, one hundred million, one hundred twelve thousand".