12254879120 has 80 divisors (see below), whose sum is σ = 31403490048. Its totient is φ = 4410347520.

The previous prime is 12254879089. The next prime is 12254879129. The reversal of 12254879120 is 2197845221.

12254879120 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 (80).

It is not an unprimeable number, because it can be changed into a prime (12254879129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13577 + ... + 157143.

Almost surely, 2^12254879120 is an apocalyptic number.

12254879120 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 12254879120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15701745024).

12254879120 is an abundant number, since it is smaller than the sum of its proper divisors (19148610928).

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

12254879120 is a wasteful number, since it uses less digits than its factorization.

12254879120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143688 (or 143682 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 12254879120 in words is "twelve billion, two hundred fifty-four million, eight hundred seventy-nine thousand, one hundred twenty".