21195200 has 84 divisors (see below), whose sum is σ = 56220360. Its totient is φ = 7818240.

The previous prime is 21195199. The next prime is 21195221. The reversal of 21195200 is 259112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20291 + ... + 21309.

It is an arithmetic number, because the mean of its divisors is an integer number (669290).

Almost surely, 2^21195200 is an apocalyptic number.

21195200 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 21195200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28110180).

21195200 is an abundant number, since it is smaller than the sum of its proper divisors (35025160).

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

21195200 is a wasteful number, since it uses less digits than its factorization.

21195200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 21195200 is about 4603.8244970893. The cubic root of 21195200 is about 276.7446111899.

The spelling of 21195200 in words is "twenty-one million, one hundred ninety-five thousand, two hundred".