22122213322300 has 288 divisors, whose sum is σ = 59427428401152. Its totient is φ = 6960659512320.

The previous prime is 22122213322247. The next prime is 22122213322333. The reversal of 22122213322300 is 322331222122.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 1104830089 + ... + 1104850111.

It is an arithmetic number, because the mean of its divisors is an integer number (206345237504).

Almost surely, 2^{22122213322300} is an apocalyptic number.

22122213322300 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 22122213322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29713714200576).

22122213322300 is an abundant number, since it is smaller than the sum of its proper divisors (37305215078852).

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

22122213322300 is a wasteful number, since it uses less digits than its factorization.

22122213322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20757 (or 20750 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 22122213322300 its reverse (322331222122), we get a palindrome (22444544544422).

The spelling of 22122213322300 in words is "twenty-two trillion, one hundred twenty-two billion, two hundred thirteen million, three hundred twenty-two thousand, three hundred".