12111012011100 has 144 divisors (see below), whose sum is σ = 35844238266368. Its totient is φ = 3156349109760.

The previous prime is 12111012011083. The next prime is 12111012011101. The reversal of 12111012011100 is 111021011121.

It is a super-2 number, since 2×12111012011100² (a number of 27 digits) contains 22 as substring.

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 (12111012011101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180504 + ... + 4924896.

Almost surely, 2^{12111012011100} is an apocalyptic number.

12111012011100 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 12111012011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922119133184).

12111012011100 is an abundant number, since it is smaller than the sum of its proper divisors (23733226255268).

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

12111012011100 is a wasteful number, since it uses less digits than its factorization.

12111012011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4744604 (or 4744597 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 12111012011100 its reverse (111021011121), we get a palindrome (12222033022221).

The spelling of 12111012011100 in words is "twelve trillion, one hundred eleven billion, twelve million, eleven thousand, one hundred".