22330133423120 has 80 divisors (see below), whose sum is σ = 52844296320000. Its totient is φ = 8772883160064.

The previous prime is 22330133423099. The next prime is 22330133423137. The reversal of 22330133423120 is 2132433103322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 3233681 + ... + 7424079.

It is an arithmetic number, because the mean of its divisors is an integer number (660553704000).

Almost surely, 2^{22330133423120} is an apocalyptic number.

22330133423120 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 22330133423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422148160000).

22330133423120 is an abundant number, since it is smaller than the sum of its proper divisors (30514162896880).

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

22330133423120 is a wasteful number, since it uses less digits than its factorization.

22330133423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4191600 (or 4191594 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

Adding to 22330133423120 its reverse (2132433103322), we get a palindrome (24462566526442).

The spelling of 22330133423120 in words is "twenty-two trillion, three hundred thirty billion, one hundred thirty-three million, four hundred twenty-three thousand, one hundred twenty".