12651106104 has 288 divisors, whose sum is σ = 44901436320. Its totient is φ = 3139928064.

The previous prime is 12651106049. The next prime is 12651106109. The reversal of 12651106104 is 40160115621.

12651106104 is a `hidden beast` number, since 1 + 2 + 651 + 1 + 0 + 6 + 1 + 0 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12651106109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1443624 + ... + 1452360.

It is an arithmetic number, because the mean of its divisors is an integer number (155907765).

Almost surely, 2^12651106104 is an apocalyptic number.

12651106104 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 12651106104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450718160).

12651106104 is an abundant number, since it is smaller than the sum of its proper divisors (32250330216).

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

12651106104 is a wasteful number, since it uses less digits than its factorization.

12651106104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8779 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 12651106104 in words is "twelve billion, six hundred fifty-one million, one hundred six thousand, one hundred four".