21302133222000 has 320 divisors, whose sum is σ = 71078863340160. Its totient is φ = 5482172416000.

The previous prime is 21302133221983. The next prime is 21302133222053. The reversal of 21302133222000 is 22233120312.

It is a happy number.

It is a super-2 number, since 2×21302133222000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395475070 + ... + 395528930.

It is an arithmetic number, because the mean of its divisors is an integer number (222121447938).

Almost surely, 2^{21302133222000} is an apocalyptic number.

21302133222000 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 21302133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35539431670080).

21302133222000 is an abundant number, since it is smaller than the sum of its proper divisors (49776730118160).

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

21302133222000 is a wasteful number, since it uses less digits than its factorization.

21302133222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56189 (or 56173 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21302133222000 its reverse (22233120312), we get a palindrome (21324366342312).

The spelling of 21302133222000 in words is "twenty-one trillion, three hundred two billion, one hundred thirty-three million, two hundred twenty-two thousand".