12000110120100 has 108 divisors (see below), whose sum is σ = 37672177482576. Its totient is φ = 3195052493760.

The previous prime is 12000110120071. The next prime is 12000110120107. The reversal of 12000110120100 is 102101100021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12000110120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9789462 + ... + 10946861.

It is an arithmetic number, because the mean of its divisors is an integer number (348816458172).

Almost surely, 2^{12000110120100} is an apocalyptic number.

12000110120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12000110120100 is an abundant number, since it is smaller than the sum of its proper divisors (25672067362476).

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

12000110120100 is a wasteful number, since it uses less digits than its factorization.

12000110120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20736986 (or 20736976 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12000110120100 its reverse (102101100021), we get a palindrome (12102211220121).

The spelling of 12000110120100 in words is "twelve trillion, one hundred ten million, one hundred twenty thousand, one hundred".