21412204200 has 240 divisors, whose sum is σ = 77602488480. Its totient is φ = 5461568640.

The previous prime is 21412204193. The next prime is 21412204207. The reversal of 21412204200 is 240221412.

21412204200 is a `hidden beast` number, since 21 + 4 + 1 + 220 + 420 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21412204193) and next prime (21412204207).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21412204207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 343867 + ... + 401333.

It is an arithmetic number, because the mean of its divisors is an integer number (323343702).

Almost surely, 2^21412204200 is an apocalyptic number.

21412204200 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 21412204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38801244240).

21412204200 is an abundant number, since it is smaller than the sum of its proper divisors (56190284280).

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

21412204200 is a wasteful number, since it uses less digits than its factorization.

21412204200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57518 (or 57500 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21412204200 its reverse (240221412), we get a palindrome (21652425612).

The spelling of 21412204200 in words is "twenty-one billion, four hundred twelve million, two hundred four thousand, two hundred".