12434184880 has 160 divisors (see below), whose sum is σ = 33157252800. Its totient is φ = 4295786496.

The previous prime is 12434184857. The next prime is 12434184907. The reversal of 12434184880 is 8848143421.

It is a super-2 number, since 2×12434184880² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3162756 + ... + 3166684.

It is an arithmetic number, because the mean of its divisors is an integer number (207232830).

Almost surely, 2^12434184880 is an apocalyptic number.

12434184880 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 12434184880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16578626400).

12434184880 is an abundant number, since it is smaller than the sum of its proper divisors (20723067920).

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

12434184880 is a wasteful number, since it uses less digits than its factorization.

12434184880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 12434184880 in words is "twelve billion, four hundred thirty-four million, one hundred eighty-four thousand, eight hundred eighty".