22011120011000 has 256 divisors, whose sum is σ = 52789922640000. Its totient is φ = 8588112691200.

The previous prime is 22011120010981. The next prime is 22011120011047. The reversal of 22011120011000 is 11002111022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3614895956 + ... + 3614902044.

Almost surely, 2^{22011120011000} is an apocalyptic number.

22011120011000 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 22011120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26394961320000).

22011120011000 is an abundant number, since it is smaller than the sum of its proper divisors (30778802629000).

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

22011120011000 is a wasteful number, since it uses less digits than its factorization.

22011120011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 22011120011000 its reverse (11002111022), we get a palindrome (22022122122022).

The spelling of 22011120011000 in words is "twenty-two trillion, eleven billion, one hundred twenty million, eleven thousand".