21143422434112 has 112 divisors (see below), whose sum is σ = 45850954076928. Its totient is φ = 9593808721920.

The previous prime is 21143422434107. The next prime is 21143422434131.

21143422434112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21143422434112² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1283200018 + ... + 1283216494.

It is an arithmetic number, because the mean of its divisors is an integer number (409383518544).

Almost surely, 2^{21143422434112} is an apocalyptic number.

21143422434112 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 21143422434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22925477038464).

21143422434112 is an abundant number, since it is smaller than the sum of its proper divisors (24707531642816).

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

21143422434112 is a wasteful number, since it uses less digits than its factorization.

21143422434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19584 (or 19574 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 2114342 and 2434112, that added together give a palindrome (4548454).

The spelling of 21143422434112 in words is "twenty-one trillion, one hundred forty-three billion, four hundred twenty-two million, four hundred thirty-four thousand, one hundred twelve".