21112000 has 224 divisors, whose sum is σ = 66568320. Its totient is φ = 6451200.

The previous prime is 21111991. The next prime is 21112009. The reversal of 21112000 is 21112.

It is an interprime number because it is at equal distance from previous prime (21111991) and next prime (21112009).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21112009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 727986 + ... + 728014.

It is an arithmetic number, because the mean of its divisors is an integer number (297180).

Almost surely, 2^21112000 is an apocalyptic number.

21112000 is a gapful number since it is divisible by the number (20) 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 21112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33284160).

21112000 is an abundant number, since it is smaller than the sum of its proper divisors (45456320).

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

21112000 is a wasteful number, since it uses less digits than its factorization.

21112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 21112000 is about 4594.7796465119. The cubic root of 21112000 is about 276.3820236654.

Adding to 21112000 its reverse (21112), we get a palindrome (21133112).

21112000 divided by its reverse (21112) gives a cube (1000 = 10³).

The spelling of 21112000 in words is "twenty-one million, one hundred twelve thousand".