12812106096 has 80 divisors (see below), whose sum is σ = 37154740000. Its totient is φ = 4226660352.

The previous prime is 12812106091. The next prime is 12812106107. The reversal of 12812106096 is 69060121821.

12812106096 is a `hidden beast` number, since 1 + 28 + 1 + 21 + 0 + 609 + 6 = 666.

It is a super-2 number, since 2×12812106096² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 12812106096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12812106091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110971 + ... + 194778.

It is an arithmetic number, because the mean of its divisors is an integer number (464434250).

Almost surely, 2^12812106096 is an apocalyptic number.

12812106096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12812106096 is an abundant number, since it is smaller than the sum of its proper divisors (24342633904).

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

12812106096 is a wasteful number, since it uses less digits than its factorization.

12812106096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305863 (or 305851 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12812106096 in words is "twelve billion, eight hundred twelve million, one hundred six thousand, ninety-six".