221221321122000 has 320 divisors, whose sum is σ = 737852715475200. Its totient is φ = 56954932070400.

The previous prime is 221221321121963. The next prime is 221221321122017. The reversal of 221221321122000 is 221123122122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5823587007 + ... + 5823624993.

It is an arithmetic number, because the mean of its divisors is an integer number (2305789735860).

Almost surely, 2^{221221321122000} is an apocalyptic number.

221221321122000 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 221221321122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368926357737600).

221221321122000 is an abundant number, since it is smaller than the sum of its proper divisors (516631394353200).

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

221221321122000 is a wasteful number, since it uses less digits than its factorization.

221221321122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71511 (or 71495 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 221221321122000 its reverse (221123122122), we get a palindrome (221442444244122).

The spelling of 221221321122000 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, three hundred twenty-one million, one hundred twenty-two thousand".