12774102432000 has 864 divisors, whose sum is σ = 53153294673024. Its totient is φ = 2695182336000.

The previous prime is 12774102431977. The next prime is 12774102432017. The reversal of 12774102432000 is 23420147721.

12774102432000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61047555 + ... + 61256445.

Almost surely, 2^{12774102432000} is an apocalyptic number.

12774102432000 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 12774102432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26576647336512).

12774102432000 is an abundant number, since it is smaller than the sum of its proper divisors (40379192241024).

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

12774102432000 is a wasteful number, since it uses less digits than its factorization.

12774102432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208952 (or 208921 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

Adding to 12774102432000 its reverse (23420147721), we get a palindrome (12797522579721).

The spelling of 12774102432000 in words is "twelve trillion, seven hundred seventy-four billion, one hundred two million, four hundred thirty-two thousand".