21110212211200 has 240 divisors, whose sum is σ = 60035022780480. Its totient is φ = 7206173982720.

The previous prime is 21110212211177. The next prime is 21110212211227. The reversal of 21110212211200 is 211221201112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20003979 + ... + 21032821.

It is an arithmetic number, because the mean of its divisors is an integer number (250145928252).

Almost surely, 2^{21110212211200} is an apocalyptic number.

21110212211200 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 21110212211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30017511390240).

21110212211200 is an abundant number, since it is smaller than the sum of its proper divisors (38924810569280).

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

21110212211200 is a wasteful number, since it uses less digits than its factorization.

21110212211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029107 (or 1029086 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21110212211200 its reverse (211221201112), we get a palindrome (21321433412312).

The spelling of 21110212211200 in words is "twenty-one trillion, one hundred ten billion, two hundred twelve million, two hundred eleven thousand, two hundred".