221133111122000 has 1280 divisors, whose sum is σ = 718184273264640. Its totient is φ = 63746039808000.

The previous prime is 221133111121991. The next prime is 221133111122059. The reversal of 221133111122000 is 221111331122.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38911331159 + ... + 38911336841.

It is an arithmetic number, because the mean of its divisors is an integer number (561081463488).

Almost surely, 2^{221133111122000} is an apocalyptic number.

221133111122000 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 221133111122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359092136632320).

221133111122000 is an abundant number, since it is smaller than the sum of its proper divisors (497051162142640).

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

221133111122000 is a wasteful number, since it uses less digits than its factorization.

221133111122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5997 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 221133111122000 its reverse (221111331122), we get a palindrome (221354222453122).

It can be divided in two parts, 2211331 and 11122000, that added together give a palindrome (13333331).

The spelling of 221133111122000 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, one hundred eleven million, one hundred twenty-two thousand".