12112110021200 has 360 divisors, whose sum is σ = 36061241620320. Its totient is φ = 3886749619200.

The previous prime is 12112110021199. The next prime is 12112110021233. The reversal of 12112110021200 is 212001121121.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30713270 + ... + 31105130.

It is an arithmetic number, because the mean of its divisors is an integer number (100170115612).

Almost surely, 2^{12112110021200} is an apocalyptic number.

12112110021200 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 12112110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18030620810160).

12112110021200 is an abundant number, since it is smaller than the sum of its proper divisors (23949131599120).

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

12112110021200 is a wasteful number, since it uses less digits than its factorization.

12112110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391995 (or 391977 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12112110021200 its reverse (212001121121), we get a palindrome (12324111142321).

The spelling of 12112110021200 in words is "twelve trillion, one hundred twelve billion, one hundred ten million, twenty-one thousand, two hundred".