12112100001220 has 48 divisors (see below), whose sum is σ = 27128191794480. Its totient is φ = 4526565822464.

The previous prime is 12112100001217. The next prime is 12112100001223. The reversal of 12112100001220 is 2210000121121.

It is an interprime number because it is at equal distance from previous prime (12112100001217) and next prime (12112100001223).

It can be written as a sum of positive squares in 8 ways, for example, as 21903408004 + 12090196593216 = 147998^2 + 3477096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12112100001220.

It is not an unprimeable number, because it can be changed into a prime (12112100001223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129967375 + ... + 130060534.

It is an arithmetic number, because the mean of its divisors is an integer number (565170662385).

Almost surely, 2^{12112100001220} is an apocalyptic number.

12112100001220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12112100001220 is an abundant number, since it is smaller than the sum of its proper divisors (15016091793260).

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

12112100001220 is a wasteful number, since it uses less digits than its factorization.

12112100001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260028072 (or 260028070 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12112100001220 its reverse (2210000121121), we get a palindrome (14322100122341).

The spelling of 12112100001220 in words is "twelve trillion, one hundred twelve billion, one hundred million, one thousand, two hundred twenty".