21332222223312 has 640 divisors, whose sum is σ = 78442787340288. Its totient is φ = 4815844761600.

The previous prime is 21332222223293. The next prime is 21332222223331.

It is a happy number.

21332222223312 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21332222223293) and next prime (21332222223331).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21332222223312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54917518 + ... + 55304594.

Almost surely, 2^{21332222223312} is an apocalyptic number.

21332222223312 is a gapful number since it is divisible by the number (22) 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 21332222223312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39221393670144).

21332222223312 is an abundant number, since it is smaller than the sum of its proper divisors (57110565116976).

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

21332222223312 is a wasteful number, since it uses less digits than its factorization.

21332222223312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387187 (or 387181 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2133222 and 2223312, that added together give a palindrome (4356534).

The spelling of 21332222223312 in words is "twenty-one trillion, three hundred thirty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, three hundred twelve".