21442223002200 has 2304 divisors, whose sum is σ = 93808870848000. Its totient is φ = 3979719475200.

The previous prime is 21442223002159. The next prime is 21442223002219. The reversal of 21442223002200 is 220032224412.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 47755507576 + ... + 47755508024.

It is an arithmetic number, because the mean of its divisors is an integer number (40715655750).

Almost surely, 2^{21442223002200} is an apocalyptic number.

21442223002200 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 21442223002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46904435424000).

21442223002200 is an abundant number, since it is smaller than the sum of its proper divisors (72366647845800).

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

21442223002200 is a wasteful number, since it uses less digits than its factorization.

21442223002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 21442223002200 its reverse (220032224412), we get a palindrome (21662255226612).

The spelling of 21442223002200 in words is "twenty-one trillion, four hundred forty-two billion, two hundred twenty-three million, two thousand, two hundred".