22220010221200 has 480 divisors, whose sum is σ = 59834291253120. Its totient is φ = 7861708800000.

The previous prime is 22220010221179. The next prime is 22220010221237. The reversal of 22220010221200 is 212201002222.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19681142236 + ... + 19681143364.

It is an arithmetic number, because the mean of its divisors is an integer number (124654773444).

Almost surely, 2^{22220010221200} is an apocalyptic number.

22220010221200 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 22220010221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29917145626560).

22220010221200 is an abundant number, since it is smaller than the sum of its proper divisors (37614281031920).

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

22220010221200 is a wasteful number, since it uses less digits than its factorization.

22220010221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22220010221200 its reverse (212201002222), we get a palindrome (22432211223422).

It can be divided in two parts, 2222001022 and 1200, that added together give a palindrome (2222002222).

The spelling of 22220010221200 in words is "twenty-two trillion, two hundred twenty billion, ten million, two hundred twenty-one thousand, two hundred".