22121223332000 has 192 divisors, whose sum is σ = 58538936330784. Its totient is φ = 8166974054400.

The previous prime is 22121223331997. The next prime is 22121223332003. The reversal of 22121223332000 is 23332212122.

It is an interprime number because it is at equal distance from previous prime (22121223331997) and next prime (22121223332003).

It can be written as a sum of positive squares in 16 ways, for example, as 1589848635664 + 20531374696336 = 1260892^2 + 4531156^2 .

It is not an unprimeable number, because it can be changed into a prime (22121223332003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705988334 + ... + 706019666.

Almost surely, 2^{22121223332000} is an apocalyptic number.

22121223332000 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 22121223332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29269468165392).

22121223332000 is an abundant number, since it is smaller than the sum of its proper divisors (36417712998784).

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

22121223332000 is a wasteful number, since it uses less digits than its factorization.

22121223332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44948 (or 44930 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 22121223332000 its reverse (23332212122), we get a palindrome (22144555544122).

The spelling of 22121223332000 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred twenty-three million, three hundred thirty-two thousand".