21120211200 has 324 divisors, whose sum is σ = 76622029904. Its totient is φ = 5119488000.

The previous prime is 21120211193. The next prime is 21120211201. The reversal of 21120211200 is 211202112.

It is a super-2 number, since 2×21120211200² (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 (21120211201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2318655 + ... + 2327745.

Almost surely, 2^21120211200 is an apocalyptic number.

21120211200 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 21120211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38311014952).

21120211200 is an abundant number, since it is smaller than the sum of its proper divisors (55501818704).

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

21120211200 is a wasteful number, since it uses less digits than its factorization.

21120211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9142 (or 9112 counting only the distinct ones).

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

Adding to 21120211200 its reverse (211202112), we get a palindrome (21331413312).

21120211200 divided by its reverse (211202112) gives a square (100 = 10²).

The spelling of 21120211200 in words is "twenty-one billion, one hundred twenty million, two hundred eleven thousand, two hundred".