21038112 has 72 divisors (see below), whose sum is σ = 63361116. Its totient is φ = 6598656.

The previous prime is 21038071. The next prime is 21038117. The reversal of 21038112 is 21183012.

It can be written as a sum of positive squares in 2 ways, for example, as 20466576 + 571536 = 4524^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21038117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2748 + ... + 7044.

Almost surely, 2^21038112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21038112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680558).

21038112 is an abundant number, since it is smaller than the sum of its proper divisors (42323004).

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

21038112 is a wasteful number, since it uses less digits than its factorization.

21038112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 21038112 is about 4586.7321700749. The cubic root of 21038112 is about 276.0592185471.

The spelling of 21038112 in words is "twenty-one million, thirty-eight thousand, one hundred twelve".