12000011100 has 288 divisors, whose sum is σ = 43566544896. Its totient is φ = 2477433600.

The previous prime is 12000011087. The next prime is 12000011113. The reversal of 12000011100 is 111000021.

It is an interprime number because it is at equal distance from previous prime (12000011087) and next prime (12000011113).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3763707 + ... + 3766893.

Almost surely, 2^12000011100 is an apocalyptic number.

12000011100 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 12000011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21783272448).

12000011100 is an abundant number, since it is smaller than the sum of its proper divisors (31566533796).

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

12000011100 is a wasteful number, since it uses less digits than its factorization.

12000011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3385 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 12000011100 its reverse (111000021), we get a palindrome (12111011121).

The spelling of 12000011100 in words is "twelve billion, eleven thousand, one hundred".