22213013212000 has 288 divisors, whose sum is σ = 62574995193984. Its totient is φ = 7719269376000.

The previous prime is 22213013211973. The next prime is 22213013212003. The reversal of 22213013212000 is 21231031222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22213013212003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10525545 + ... + 12458455.

It is an arithmetic number, because the mean of its divisors is an integer number (217274288868).

Almost surely, 2^{22213013212000} is an apocalyptic number.

22213013212000 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 22213013212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31287497596992).

22213013212000 is an abundant number, since it is smaller than the sum of its proper divisors (40361981981984).

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

22213013212000 is a wasteful number, since it uses less digits than its factorization.

22213013212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932979 (or 1932948 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 22213013212000 its reverse (21231031222), we get a palindrome (22234244243222).

The spelling of 22213013212000 in words is "twenty-two trillion, two hundred thirteen billion, thirteen million, two hundred twelve thousand".