12270268416 has 208 divisors, whose sum is σ = 38687731200. Its totient is φ = 3384213504.

The previous prime is 12270268391. The next prime is 12270268421. The reversal of 12270268416 is 61486207221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2492005 + ... + 2496923.

Almost surely, 2^12270268416 is an apocalyptic number.

12270268416 is a gapful number since it is divisible by the number (16) 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 12270268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343865600).

12270268416 is an abundant number, since it is smaller than the sum of its proper divisors (26417462784).

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

12270268416 is an equidigital number, since it uses as much as digits as its factorization.

12270268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4982 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12270268416 in words is "twelve billion, two hundred seventy million, two hundred sixty-eight thousand, four hundred sixteen".