21442233224412 has 576 divisors, whose sum is σ = 75311646778368. Its totient is φ = 4963825152000.

The previous prime is 21442233224389. The next prime is 21442233224513.

21442233224412 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 2 + 233 + 2 + 2 + 4 + 412 = 666.

21442233224412 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174605112 + ... + 174727872.

It is an arithmetic number, because the mean of its divisors is an integer number (130749386768).

Almost surely, 2^{21442233224412} is an apocalyptic number.

21442233224412 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 21442233224412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37655823389184).

21442233224412 is an abundant number, since it is smaller than the sum of its proper divisors (53869413553956).

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

21442233224412 is a wasteful number, since it uses less digits than its factorization.

21442233224412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122970 (or 122965 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 2144223 and 3224412, that added together give a palindrome (5368635).

The spelling of 21442233224412 in words is "twenty-one trillion, four hundred forty-two billion, two hundred thirty-three million, two hundred twenty-four thousand, four hundred twelve".