12101120111200 has 72 divisors (see below), whose sum is σ = 29690311417200. Its totient is φ = 4816124121600.

The previous prime is 12101120111167. The next prime is 12101120111203. The reversal of 12101120111200 is 211102110121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12101120111203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37846831 + ... + 38165230.

It is an arithmetic number, because the mean of its divisors is an integer number (412365436350).

Almost surely, 2^{12101120111200} is an apocalyptic number.

12101120111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101120111200 is an abundant number, since it is smaller than the sum of its proper divisors (17589191306000).

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

12101120111200 is a wasteful number, since it uses less digits than its factorization.

12101120111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76012280 (or 76012267 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12101120111200 its reverse (211102110121), we get a palindrome (12312222221321).

The spelling of 12101120111200 in words is "twelve trillion, one hundred one billion, one hundred twenty million, one hundred eleven thousand, two hundred".