21322321200 has 480 divisors, whose sum is σ = 78208486400. Its totient is φ = 5515361280.

The previous prime is 21322321199. The next prime is 21322321283. The reversal of 21322321200 is 212322312.

21322321200 is a `hidden beast` number, since 2 + 1 + 322 + 321 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57164214 + ... + 57164586.

Almost surely, 2^21322321200 is an apocalyptic number.

21322321200 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 21322321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39104243200).

21322321200 is an abundant number, since it is smaller than the sum of its proper divisors (56886165200).

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

21322321200 is a wasteful number, since it uses less digits than its factorization.

21322321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21322321200 its reverse (212322312), we get a palindrome (21534643512).

The spelling of 21322321200 in words is "twenty-one billion, three hundred twenty-two million, three hundred twenty-one thousand, two hundred".