21221112000 has 448 divisors, whose sum is σ = 78938615808. Its totient is φ = 4976640000.

The previous prime is 21221111959. The next prime is 21221112001. The reversal of 21221112000 is 21112212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21221112001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8182704 + ... + 8185296.

Almost surely, 2^21221112000 is an apocalyptic number.

21221112000 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 21221112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39469307904).

21221112000 is an abundant number, since it is smaller than the sum of its proper divisors (57717503808).

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

21221112000 is a wasteful number, since it uses less digits than its factorization.

21221112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21221112000 its reverse (21112212), we get a palindrome (21242224212).

The spelling of 21221112000 in words is "twenty-one billion, two hundred twenty-one million, one hundred twelve thousand".