12112100000 has 576 divisors, whose sum is σ = 40348917504. Its totient is φ = 3484800000.

The previous prime is 12112099997. The next prime is 12112100023. The reversal of 12112100000 is 121121.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 931699994 + ... + 931700006.

It is an arithmetic number, because the mean of its divisors is an integer number (70050204).

Almost surely, 2^12112100000 is an apocalyptic number.

12112100000 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 12112100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20174458752).

12112100000 is an abundant number, since it is smaller than the sum of its proper divisors (28236817504).

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

12112100000 is an frugal number, since it uses more digits than its factorization.

12112100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12112100000 its reverse (121121), we get a palindrome (12112221121).

12112100000 divided by its reverse (121121) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 121 and 12100000, that added together give a palindrome (12100121).

The spelling of 12112100000 in words is "twelve billion, one hundred twelve million, one hundred thousand".