21114211200 has 192 divisors, whose sum is σ = 70049683200. Its totient is φ = 5589596160.

The previous prime is 21114211193. The next prime is 21114211211. The reversal of 21114211200 is 211241112.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21114211200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1326489 + ... + 1342311.

It is an arithmetic number, because the mean of its divisors is an integer number (364842100).

Almost surely, 2^21114211200 is an apocalyptic number.

21114211200 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 21114211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35024841600).

21114211200 is an abundant number, since it is smaller than the sum of its proper divisors (48935472000).

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

21114211200 is a wasteful number, since it uses less digits than its factorization.

21114211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15989 (or 15972 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21114211200 its reverse (211241112), we get a palindrome (21325452312).

The spelling of 21114211200 in words is "twenty-one billion, one hundred fourteen million, two hundred eleven thousand, two hundred".