12111701600 has 72 divisors (see below), whose sum is σ = 29829575160. Its totient is φ = 4801771520.

The previous prime is 12111701593. The next prime is 12111701603. The reversal of 12111701600 is 610711121.

It is a happy number.

12111701600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111701603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23411 + ... + 157389.

It is an arithmetic number, because the mean of its divisors is an integer number (414299655).

Almost surely, 2^12111701600 is an apocalyptic number.

12111701600 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 12111701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914787580).

12111701600 is an abundant number, since it is smaller than the sum of its proper divisors (17717873560).

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

12111701600 is a wasteful number, since it uses less digits than its factorization.

12111701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134112 (or 134099 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 20.

The spelling of 12111701600 in words is "twelve billion, one hundred eleven million, seven hundred one thousand, six hundred".