12325233222120 has 768 divisors, whose sum is σ = 46593966182400. Its totient is φ = 2585232599040.

The previous prime is 12325233222077. The next prime is 12325233222139. The reversal of 12325233222120 is 2122233252321.

It is a happy number.

12325233222120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12325233222120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13529344465 + ... + 13529345375.

It is an arithmetic number, because the mean of its divisors is an integer number (60669226800).

Almost surely, 2^{12325233222120} is an apocalyptic number.

12325233222120 is a gapful number since it is divisible by the number (10) 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 12325233222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296983091200).

12325233222120 is an abundant number, since it is smaller than the sum of its proper divisors (34268732960280).

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

12325233222120 is a wasteful number, since it uses less digits than its factorization.

12325233222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 12325233222120 its reverse (2122233252321), we get a palindrome (14447466474441).

The spelling of 12325233222120 in words is "twelve trillion, three hundred twenty-five billion, two hundred thirty-three million, two hundred twenty-two thousand, one hundred twenty".