21124442112 has 48 divisors (see below), whose sum is σ = 56318109120. Its totient is φ = 7041478656.

The previous prime is 21124442111. The next prime is 21124442137.

It is a happy number.

21124442112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (21124442111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1712968 + ... + 1725255.

It is an arithmetic number, because the mean of its divisors is an integer number (1173293940).

Almost surely, 2^21124442112 is an apocalyptic number.

It is an amenable number.

21124442112 is an abundant number, since it is smaller than the sum of its proper divisors (35193667008).

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

21124442112 is an equidigital number, since it uses as much as digits as its factorization.

21124442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3438248 (or 3438228 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The spelling of 21124442112 in words is "twenty-one billion, one hundred twenty-four million, four hundred forty-two thousand, one hundred twelve".