221222221110000 has 1200 divisors, whose sum is σ = 894837665161440. Its totient is φ = 50406359040000.

The previous prime is 221222221109993. The next prime is 221222221110031. The reversal of 221222221110000 is 11122222122.

It is a happy number.

221222221110000 is a `hidden beast` number, since 221 + 2 + 222 + 211 + 10 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×221222221110000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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, 12942261454 + ... + 12942278546.

Almost surely, 2^{221222221110000} is an apocalyptic number.

221222221110000 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 221222221110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447418832580720).

221222221110000 is an abundant number, since it is smaller than the sum of its proper divisors (673615444051440).

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

221222221110000 is a wasteful number, since it uses less digits than its factorization.

221222221110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17924 (or 17900 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221222221110000 its reverse (11122222122), we get a palindrome (221233343332122).

The spelling of 221222221110000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, two hundred twenty-one million, one hundred ten thousand".