22123312002000 has 1280 divisors, whose sum is σ = 88945507123200. Its totient is φ = 5210438400000.

The previous prime is 22123312001941. The next prime is 22123312002037. The reversal of 22123312002000 is 20021332122.

22123312002000 is a `hidden beast` number, since 221 + 233 + 12 + 0 + 0 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 255 ways as a sum of consecutive naturals, for example, 3880599150 + ... + 3880604850.

It is an arithmetic number, because the mean of its divisors is an integer number (69488677440).

Almost surely, 2^{22123312002000} is an apocalyptic number.

22123312002000 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 22123312002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44472753561600).

22123312002000 is an abundant number, since it is smaller than the sum of its proper divisors (66822195121200).

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

22123312002000 is a wasteful number, since it uses less digits than its factorization.

22123312002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5908 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22123312002000 its reverse (20021332122), we get a palindrome (22143333334122).

The spelling of 22123312002000 in words is "twenty-two trillion, one hundred twenty-three billion, three hundred twelve million, two thousand".