21322233222000 has 160 divisors (see below), whose sum is σ = 68750315412480. Its totient is φ = 5685313849600.

The previous prime is 21322233221977. The next prime is 21322233222007. The reversal of 21322233222000 is 22233222312.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21322233222007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56686549 + ... + 57061451.

It is an arithmetic number, because the mean of its divisors is an integer number (429689471328).

Almost surely, 2^{21322233222000} is an apocalyptic number.

21322233222000 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 21322233222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34375157706240).

21322233222000 is an abundant number, since it is smaller than the sum of its proper divisors (47428082190480).

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

21322233222000 is a wasteful number, since it uses less digits than its factorization.

21322233222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384408 (or 384392 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 21322233222000 its reverse (22233222312), we get a palindrome (21344466444312).

The spelling of 21322233222000 in words is "twenty-one trillion, three hundred twenty-two billion, two hundred thirty-three million, two hundred twenty-two thousand".