22213122012000 has 288 divisors, whose sum is σ = 83471688203904. Its totient is φ = 5575057920000.

The previous prime is 22213122011989. The next prime is 22213122012007. The reversal of 22213122012000 is 21022131222.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213122012007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 17535976 + ... + 18759975.

It is an arithmetic number, because the mean of its divisors is an integer number (289832250708).

Almost surely, 2^{22213122012000} is an apocalyptic number.

22213122012000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22213122012000 is an abundant number, since it is smaller than the sum of its proper divisors (61258566191904).

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

22213122012000 is a wasteful number, since it uses less digits than its factorization.

22213122012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36295999 (or 36295978 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22213122012000 its reverse (21022131222), we get a palindrome (22234144143222).

The spelling of 22213122012000 in words is "twenty-two trillion, two hundred thirteen billion, one hundred twenty-two million, twelve thousand".