12268078080 has 352 divisors, whose sum is σ = 41754869760. Its totient is φ = 3065610240.

The previous prime is 12268078051. The next prime is 12268078153. The reversal of 12268078080 is 8087086221.

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, 37063515 + ... + 37063845.

Almost surely, 2^12268078080 is an apocalyptic number.

12268078080 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 12268078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20877434880).

12268078080 is an abundant number, since it is smaller than the sum of its proper divisors (29486791680).

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

12268078080 is a wasteful number, since it uses less digits than its factorization.

12268078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 12268078080 in words is "twelve billion, two hundred sixty-eight million, seventy-eight thousand, eighty".