12280321872 has 480 divisors, whose sum is σ = 44662974720. Its totient is φ = 3180072960.

The previous prime is 12280321871. The next prime is 12280321873. The reversal of 12280321872 is 27812308221.

It is an interprime number because it is at equal distance from previous prime (12280321871) and next prime (12280321873).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12280321871) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21582004 + ... + 21582572.

It is an arithmetic number, because the mean of its divisors is an integer number (93047864).

Almost surely, 2^12280321872 is an apocalyptic number.

12280321872 is a gapful number since it is divisible by the number (12) 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 12280321872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22331487360).

12280321872 is an abundant number, since it is smaller than the sum of its proper divisors (32382652848).

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

12280321872 is a wasteful number, since it uses less digits than its factorization.

12280321872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 12280321872 in words is "twelve billion, two hundred eighty million, three hundred twenty-one thousand, eight hundred seventy-two".