22113203112000 has 1344 divisors, whose sum is σ = 106208050411008. Its totient is φ = 4241479680000.

The previous prime is 22113203111929. The next prime is 22113203112017. The reversal of 22113203112000 is 21130231122.

22113203112000 is a `hidden beast` number, since 2 + 2 + 11 + 320 + 311 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 71918590 + ... + 72225410.

It is an arithmetic number, because the mean of its divisors is an integer number (79023847032).

Almost surely, 2^{22113203112000} is an apocalyptic number.

22113203112000 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 22113203112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53104025205504).

22113203112000 is an abundant number, since it is smaller than the sum of its proper divisors (84094847299008).

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

22113203112000 is a wasteful number, since it uses less digits than its factorization.

22113203112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306885 (or 306862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 22113203112000 its reverse (21130231122), we get a palindrome (22134333343122).

The spelling of 22113203112000 in words is "twenty-two trillion, one hundred thirteen billion, two hundred three million, one hundred twelve thousand".