12698671104 has 384 divisors, whose sum is σ = 43872192000. Its totient is φ = 3553984512.

The previous prime is 12698671103. The next prime is 12698671201. The reversal of 12698671104 is 40117689621.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×12698671104² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12698671104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12698671103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20514507 + ... + 20515125.

It is an arithmetic number, because the mean of its divisors is an integer number (114250500).

Almost surely, 2^12698671104 is an apocalyptic number.

12698671104 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 12698671104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096000).

12698671104 is an abundant number, since it is smaller than the sum of its proper divisors (31173520896).

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

12698671104 is an equidigital number, since it uses as much as digits as its factorization.

12698671104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 12698671104 in words is "twelve billion, six hundred ninety-eight million, six hundred seventy-one thousand, one hundred four".