221133000331122 has 96 divisors (see below), whose sum is σ = 490251754540800. Its totient is φ = 66443595456480.

The previous prime is 221133000331099. The next prime is 221133000331171.

221133000331122 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221133000331092 and 221133000331101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42642129 + ... + 47545947.

It is an arithmetic number, because the mean of its divisors is an integer number (5106789109800).

Almost surely, 2^{221133000331122} is an apocalyptic number.

221133000331122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221133000331122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245125877270400).

221133000331122 is an abundant number, since it is smaller than the sum of its proper divisors (269118754209678).

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

221133000331122 is a wasteful number, since it uses less digits than its factorization.

221133000331122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904372 (or 4904361 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 221133000 and 331122, that added together give a palindrome (221464122).

The spelling of 221133000331122 in words is "two hundred twenty-one trillion, one hundred thirty-three billion, three hundred thirty-one thousand, one hundred twenty-two".