221220202112000 has 704 divisors, whose sum is σ = 701169279283200. Its totient is φ = 67753967616000.

The previous prime is 221220202111973. The next prime is 221220202112003. The reversal of 221220202112000 is 211202022122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 221220202112000.

It is not an unprimeable number, because it can be changed into a prime (221220202112003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 360781676 + ... + 361394324.

Almost surely, 2^{221220202112000} is an apocalyptic number.

221220202112000 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 221220202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350584639641600).

221220202112000 is an abundant number, since it is smaller than the sum of its proper divisors (479949077171200).

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

221220202112000 is a wasteful number, since it uses less digits than its factorization.

221220202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612735 (or 612707 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 221220202112000 its reverse (211202022122), we get a palindrome (221431404134122).

The spelling of 221220202112000 in words is "two hundred twenty-one trillion, two hundred twenty billion, two hundred two million, one hundred twelve thousand".