22131223200 has 216 divisors, whose sum is σ = 78657965568. Its totient is φ = 5854947840.

The previous prime is 22131223189. The next prime is 22131223211. The reversal of 22131223200 is 232213122.

22131223200 is a `hidden beast` number, since 221 + 3 + 122 + 320 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22131223189) and next prime (22131223211).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 902299 + ... + 926501.

It is an arithmetic number, because the mean of its divisors is an integer number (364157248).

Almost surely, 2^22131223200 is an apocalyptic number.

22131223200 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 22131223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39328982784).

22131223200 is an abundant number, since it is smaller than the sum of its proper divisors (56526742368).

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

22131223200 is a wasteful number, since it uses less digits than its factorization.

22131223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24356 (or 24340 counting only the distinct ones).

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

Adding to 22131223200 its reverse (232213122), we get a palindrome (22363436322).

The spelling of 22131223200 in words is "twenty-two billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred".