21122011200 has 504 divisors, whose sum is σ = 75686777760. Its totient is φ = 5142528000.

The previous prime is 21122011193. The next prime is 21122011201. The reversal of 21122011200 is 211022112.

It is a super-2 number, since 2×21122011200² (a number of 21 digits) contains 22 as substring.

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 (21122011201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 87643080 + ... + 87643320.

Almost surely, 2^21122011200 is an apocalyptic number.

21122011200 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 21122011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37843388880).

21122011200 is an abundant number, since it is smaller than the sum of its proper divisors (54564766560).

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

21122011200 is a wasteful number, since it uses less digits than its factorization.

21122011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 301 counting only the distinct ones).

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

Adding to 21122011200 its reverse (211022112), we get a palindrome (21333033312).

The spelling of 21122011200 in words is "twenty-one billion, one hundred twenty-two million, eleven thousand, two hundred".