22033122223200 has 216 divisors, whose sum is σ = 78830324239464. Its totient is φ = 5341362892800.

The previous prime is 22033122223171. The next prime is 22033122223213. The reversal of 22033122223200 is 232222133022.

22033122223200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37645417 + ... + 38226216.

Almost surely, 2^{22033122223200} is an apocalyptic number.

22033122223200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22033122223200 is an abundant number, since it is smaller than the sum of its proper divisors (56797202016264).

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

22033122223200 is a wasteful number, since it uses less digits than its factorization.

22033122223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75871678 (or 75871654 counting only the distinct ones).

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

Adding to 22033122223200 its reverse (232222133022), we get a palindrome (22265344356222).

The spelling of 22033122223200 in words is "twenty-two trillion, thirty-three billion, one hundred twenty-two million, two hundred twenty-three thousand, two hundred".