12112100100000 has 360 divisors, whose sum is σ = 44523867501036. Its totient is φ = 3229891200000.

The previous prime is 12112100099963. The next prime is 12112100100017. The reversal of 12112100100000 is 100121121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2210681290896 + 9901418809104 = 1486836^2 + 3146652^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7352340 + ... + 8847660.

Almost surely, 2^{12112100100000} is an apocalyptic number.

12112100100000 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 12112100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22261933750518).

12112100100000 is an abundant number, since it is smaller than the sum of its proper divisors (32411767401036).

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

12112100100000 is an frugal number, since it uses more digits than its factorization.

12112100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495368 (or 1495331 counting only the distinct ones).

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

Adding to 12112100100000 its reverse (100121121), we get a palindrome (12112200221121).

It can be divided in two parts, 121 and 12100100000, that added together give a palindrome (12100100121).

The spelling of 12112100100000 in words is "twelve trillion, one hundred twelve billion, one hundred million, one hundred thousand".