12082417776 has 480 divisors, whose sum is σ = 42039309312. Its totient is φ = 3187261440.

The previous prime is 12082417771. The next prime is 12082417801. The reversal of 12082417776 is 67771428021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12082417771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45940621 + ... + 45940883.

Almost surely, 2^12082417776 is an apocalyptic number.

12082417776 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 12082417776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21019654656).

12082417776 is an abundant number, since it is smaller than the sum of its proper divisors (29956891536).

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

12082417776 is a wasteful number, since it uses less digits than its factorization.

12082417776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 12082417776 in words is "twelve billion, eighty-two million, four hundred seventeen thousand, seven hundred seventy-six".