21322212300 has 648 divisors, whose sum is σ = 76353863040. Its totient is φ = 4964198400.

The previous prime is 21322212299. The next prime is 21322212341. The reversal of 21322212300 is 321222312.

21322212300 is a `hidden beast` number, since 21 + 322 + 21 + 2 + 300 = 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 215 ways as a sum of consecutive naturals, for example, 292085064 + ... + 292085136.

Almost surely, 2^21322212300 is an apocalyptic number.

21322212300 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 21322212300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38176931520).

21322212300 is an abundant number, since it is smaller than the sum of its proper divisors (55031650740).

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

21322212300 is a wasteful number, since it uses less digits than its factorization.

21322212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

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

Adding to 21322212300 its reverse (321222312), we get a palindrome (21643434612).

It can be divided in two parts, 2132221 and 2300, that added together give a square (2134521 = 1461²).

The spelling of 21322212300 in words is "twenty-one billion, three hundred twenty-two million, two hundred twelve thousand, three hundred".