21142424112 has 80 divisors (see below), whose sum is σ = 55002574848. Its totient is φ = 6997950720.

The previous prime is 21142424099. The next prime is 21142424131.

It is a happy number.

21142424112 is nontrivially palindromic in base 10.

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.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12712593 + ... + 12714255.

Almost surely, 2^21142424112 is an apocalyptic number.

It is an amenable number.

21142424112 is an abundant number, since it is smaller than the sum of its proper divisors (33860150736).

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

21142424112 is a wasteful number, since it uses less digits than its factorization.

21142424112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3378 (or 3372 counting only the distinct ones).

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

The spelling of 21142424112 in words is "twenty-one billion, one hundred forty-two million, four hundred twenty-four thousand, one hundred twelve".