22321323112320 has 192 divisors, whose sum is σ = 77081214319200. Its totient is φ = 5952129232896.

The previous prime is 22321323112307. The next prime is 22321323112351. The reversal of 22321323112320 is 2321132312322.

22321323112320 is a `hidden beast` number, since 2 + 2 + 3 + 2 + 1 + 323 + 1 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×22321323112320³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 201942189 + ... + 202052691.

Almost surely, 2^{22321323112320} is an apocalyptic number.

22321323112320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22321323112320 is an abundant number, since it is smaller than the sum of its proper divisors (54759891206880).

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

22321323112320 is a wasteful number, since it uses less digits than its factorization.

22321323112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145597 (or 145582 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22321323112320 its reverse (2321132312322), we get a palindrome (24642455424642).

The spelling of 22321323112320 in words is "twenty-two trillion, three hundred twenty-one billion, three hundred twenty-three million, one hundred twelve thousand, three hundred twenty".