221222001000000 has 4704 divisors, whose sum is σ = 1022145781366528. Its totient is φ = 41057280000000.

The previous prime is 221222000999983. The next prime is 221222001000053. The reversal of 221222001000000 is 100222122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 221222001000000.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 1222220999910 + ... + 1222221000090.

Almost surely, 2^{221222001000000} is an apocalyptic number.

221222001000000 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 221222001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511072890683264).

221222001000000 is an abundant number, since it is smaller than the sum of its proper divisors (800923780366528).

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

221222001000000 is a wasteful number, since it uses less digits than its factorization.

221222001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 221222001000000 its reverse (100222122), we get a palindrome (221222101222122).

The spelling of 221222001000000 in words is "two hundred twenty-one trillion, two hundred twenty-two billion, one million", and thus it is an aban number.