12026778624 has 264 divisors, whose sum is σ = 40665014208. Its totient is φ = 3351674880.

The previous prime is 12026778619. The next prime is 12026778697. The reversal of 12026778624 is 42687762021.

It is a happy number.

12026778624 is a `hidden beast` number, since 12 + 0 + 2 + 6 + 7 + 7 + 8 + 624 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12026778624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2642719 + ... + 2647265.

Almost surely, 2^12026778624 is an apocalyptic number.

12026778624 is a gapful number since it is divisible by the number (14) 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 12026778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20332507104).

12026778624 is an abundant number, since it is smaller than the sum of its proper divisors (28638235584).

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

12026778624 is a wasteful number, since it uses less digits than its factorization.

12026778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

It can be divided in two parts, 120267 and 78624, that added together give a palindrome (198891).

The spelling of 12026778624 in words is "twelve billion, twenty-six million, seven hundred seventy-eight thousand, six hundred twenty-four".