22121202222000 has 1920 divisors, whose sum is σ = 94539309096960. Its totient is φ = 4894923571200.

The previous prime is 22121202221977. The next prime is 22121202222001. The reversal of 22121202222000 is 22220212122.

22121202222000 is a `hidden beast` number, since 221 + 2 + 1 + 20 + 222 + 200 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22121202222001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14244173224 + ... + 14244174776.

It is an arithmetic number, because the mean of its divisors is an integer number (49239223488).

Almost surely, 2^{22121202222000} is an apocalyptic number.

22121202222000 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 22121202222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47269654548480).

22121202222000 is an abundant number, since it is smaller than the sum of its proper divisors (72418106874960).

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

22121202222000 is a wasteful number, since it uses less digits than its factorization.

22121202222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22121202222000 its reverse (22220212122), we get a palindrome (22143422434122).

The spelling of 22121202222000 in words is "twenty-two trillion, one hundred twenty-one billion, two hundred two million, two hundred twenty-two thousand".