12230258880 has 336 divisors, whose sum is σ = 46633522176. Its totient is φ = 2704988160.

The previous prime is 12230258863. The next prime is 12230258899. The reversal of 12230258880 is 8885203221.

It is a happy number.

12230258880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×12230258880³ (a number of 31 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1454047 + ... + 1462433.

Almost surely, 2^12230258880 is an apocalyptic number.

12230258880 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 12230258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23316761088).

12230258880 is an abundant number, since it is smaller than the sum of its proper divisors (34403263296).

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

12230258880 is a wasteful number, since it uses less digits than its factorization.

12230258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The spelling of 12230258880 in words is "twelve billion, two hundred thirty million, two hundred fifty-eight thousand, eight hundred eighty".