221122121122000 has 320 divisors, whose sum is σ = 622049929113600. Its totient is φ = 74456027712000.

The previous prime is 221122121121983. The next prime is 221122121122013. The reversal of 221122121122000 is 221121221122.

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, 310121901 + ... + 310834099.

It is an arithmetic number, because the mean of its divisors is an integer number (1943906028480).

Almost surely, 2^{221122121122000} is an apocalyptic number.

221122121122000 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 221122121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311024964556800).

221122121122000 is an abundant number, since it is smaller than the sum of its proper divisors (400927807991600).

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

221122121122000 is a wasteful number, since it uses less digits than its factorization.

221122121122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712627 (or 712611 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221122121122000 its reverse (221121221122), we get a palindrome (221343242343122).

The spelling of 221122121122000 in words is "two hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred twenty-two thousand".