2221132311222 has 192 divisors, whose sum is σ = 5147846391744. Its totient is φ = 637718400000.

The previous prime is 2221132311163. The next prime is 2221132311337.

2221132311222 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2221132311192 and 2221132311201.

It is a congruent number.

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, 165490072 + ... + 165503492.

It is an arithmetic number, because the mean of its divisors is an integer number (26811699957).

Almost surely, 2^{2221132311222} is an apocalyptic number.

2221132311222 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 2221132311222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2573923195872).

2221132311222 is an abundant number, since it is smaller than the sum of its proper divisors (2926714080522).

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

2221132311222 is a wasteful number, since it uses less digits than its factorization.

2221132311222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13647 (or 13636 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The spelling of 2221132311222 in words is "two trillion, two hundred twenty-one billion, one hundred thirty-two million, three hundred eleven thousand, two hundred twenty-two".