12206880 has 216 divisors, whose sum is σ = 48737052. Its totient is φ = 2774016.

The previous prime is 12206879. The next prime is 12206897. The reversal of 12206880 is 8860221.

It can be written as a sum of positive squares in 2 ways, for example, as 11861136 + 345744 = 3444^2 + 588^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70474 + ... + 70646.

Almost surely, 2^12206880 is an apocalyptic number.

12206880 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 12206880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24368526).

12206880 is an abundant number, since it is smaller than the sum of its proper divisors (36530172).

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

12206880 is a wasteful number, since it uses less digits than its factorization.

12206880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12206880 is about 3493.8345696384. The cubic root of 12206880 is about 230.2510176898.

It can be divided in two parts, 1220 and 6880, that added together give a square (8100 = 90²).

The spelling of 12206880 in words is "twelve million, two hundred six thousand, eight hundred eighty".