22220121220200 has 960 divisors, whose sum is σ = 79955615013120. Its totient is φ = 5715982080000.

The previous prime is 22220121220163. The next prime is 22220121220273. The reversal of 22220121220200 is 202212102222.

22220121220200 is a `hidden beast` number, since 2 + 2 + 220 + 1 + 21 + 220 + 200 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 21763095690 + ... + 21763096710.

It is an arithmetic number, because the mean of its divisors is an integer number (83287098972).

Almost surely, 2^{22220121220200} is an apocalyptic number.

22220121220200 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 22220121220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977807506560).

22220121220200 is an abundant number, since it is smaller than the sum of its proper divisors (57735493792920).

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

22220121220200 is a wasteful number, since it uses less digits than its factorization.

22220121220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1462 counting only the distinct ones).

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

Adding to 22220121220200 its reverse (202212102222), we get a palindrome (22422333322422).

The spelling of 22220121220200 in words is "twenty-two trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty thousand, two hundred".