12892081104 has 360 divisors, whose sum is σ = 45886134528. Its totient is φ = 3353978880.

The previous prime is 12892081079. The next prime is 12892081117. The reversal of 12892081104 is 40118029821.

It is a happy number.

It is a super-4 number, since 4×12892081104⁴ (a number of 42 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 71 ways as a sum of consecutive naturals, for example, 3716779 + ... + 3720245.

Almost surely, 2^12892081104 is an apocalyptic number.

12892081104 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 12892081104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22943067264).

12892081104 is an abundant number, since it is smaller than the sum of its proper divisors (32994053424).

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

12892081104 is a wasteful number, since it uses less digits than its factorization.

12892081104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 12892081104 in words is "twelve billion, eight hundred ninety-two million, eighty-one thousand, one hundred four".