12280826880 has 880 divisors, whose sum is σ = 52290860640. Its totient is φ = 2731180032.

The previous prime is 12280826869. The next prime is 12280826941. The reversal of 12280826880 is 8862808221.

12280826880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 331914222 + ... + 331914258.

Almost surely, 2^12280826880 is an apocalyptic number.

12280826880 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 12280826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26145430320).

12280826880 is an abundant number, since it is smaller than the sum of its proper divisors (40010033760).

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

12280826880 is an frugal number, since it uses more digits than its factorization.

12280826880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

It can be divided in two parts, 12280 and 826880, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 12280826880 in words is "twelve billion, two hundred eighty million, eight hundred twenty-six thousand, eight hundred eighty".