12071681100 has 216 divisors, whose sum is σ = 40947379200. Its totient is φ = 3079010880.

The previous prime is 12071681099. The next prime is 12071681101. The reversal of 12071681100 is 118617021.

It is an interprime number because it is at equal distance from previous prime (12071681099) and next prime (12071681101).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12071681101) 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, 548101 + ... + 569699.

It is an arithmetic number, because the mean of its divisors is an integer number (189571200).

Almost surely, 2^12071681100 is an apocalyptic number.

12071681100 is a gapful number since it is divisible by the number (10) 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 12071681100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20473689600).

12071681100 is an abundant number, since it is smaller than the sum of its proper divisors (28875698100).

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

12071681100 is a wasteful number, since it uses less digits than its factorization.

12071681100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21651 (or 21632 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 12071681100 in words is "twelve billion, seventy-one million, six hundred eighty-one thousand, one hundred".