12262819968 has 144 divisors (see below), whose sum is σ = 41048962110. Its totient is φ = 3503646720.

The previous prime is 12262819939. The next prime is 12262819991. The reversal of 12262819968 is 86991826221.

It is a happy number.

12262819968 is a `hidden beast` number, since 1 + 2 + 2 + 628 + 1 + 9 + 9 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10884331584 + 1378488384 = 104328^2 + 37128^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 52173 + ... + 165068.

Almost surely, 2^12262819968 is an apocalyptic number.

12262819968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12262819968 is an abundant number, since it is smaller than the sum of its proper divisors (28786142142).

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

12262819968 is a wasteful number, since it uses less digits than its factorization.

12262819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217275 (or 217253 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The spelling of 12262819968 in words is "twelve billion, two hundred sixty-two million, eight hundred nineteen thousand, nine hundred sixty-eight".