221112141211122 has 192 divisors, whose sum is σ = 524945365056000. Its totient is φ = 61890514549248.

The previous prime is 221112141211081. The next prime is 221112141211153.

221112141211122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221112141211092 and 221112141211101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7100795029 + ... + 7100826167.

It is an arithmetic number, because the mean of its divisors is an integer number (2734090443000).

Almost surely, 2^{221112141211122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221112141211122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262472682528000).

221112141211122 is an abundant number, since it is smaller than the sum of its proper divisors (303833223844878).

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

221112141211122 is a wasteful number, since it uses less digits than its factorization.

221112141211122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32613 (or 32606 counting only the distinct ones).

The product of its digits is 256, while the sum is 24.

The spelling of 221112141211122 in words is "two hundred twenty-one trillion, one hundred twelve billion, one hundred forty-one million, two hundred eleven thousand, one hundred twenty-two".