12011042100 has 72 divisors (see below), whose sum is σ = 34813306528. Its totient is φ = 3197289600.

The previous prime is 12011042093. The next prime is 12011042107. The reversal of 12011042100 is 124011021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12011042093) and next prime (12011042107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011042107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136242 + ... + 206358.

Almost surely, 2^12011042100 is an apocalyptic number.

12011042100 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 12011042100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17406653264).

12011042100 is an abundant number, since it is smaller than the sum of its proper divisors (22802264428).

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

12011042100 is a wasteful number, since it uses less digits than its factorization.

12011042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70705 (or 70698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12011042100 its reverse (124011021), we get a palindrome (12135053121).

The spelling of 12011042100 in words is "twelve billion, eleven million, forty-two thousand, one hundred".