12262783104 has 448 divisors, whose sum is σ = 43078190400. Its totient is φ = 3426416640.

The previous prime is 12262783097. The next prime is 12262783153. The reversal of 12262783104 is 40138726221.

It is a happy number.

12262783104 is a `hidden beast` number, since 1 + 22 + 627 + 8 + 3 + 1 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13343157 + ... + 13344075.

It is an arithmetic number, because the mean of its divisors is an integer number (96156675).

Almost surely, 2^12262783104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12262783104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21539095200).

12262783104 is an abundant number, since it is smaller than the sum of its proper divisors (30815407296).

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

12262783104 is an equidigital number, since it uses as much as digits as its factorization.

12262783104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12262783104 in words is "twelve billion, two hundred sixty-two million, seven hundred eighty-three thousand, one hundred four".