12012100000000 has 162 divisors, whose sum is σ = 29971831334102. Its totient is φ = 4804800000000.

The previous prime is 12012099999989. The next prime is 12012100000001. The reversal of 12012100000000 is 121021.

It can be written as a sum of positive squares in 9 ways, for example, as 5646288420864 + 6365811579136 = 2376192^2 + 2523056^2 .

It is not an unprimeable number, because it can be changed into a prime (12012100000001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 99939940 + ... + 100060060.

Almost surely, 2^{12012100000000} is an apocalyptic number.

12012100000000 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 12012100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985915667051).

12012100000000 is an abundant number, since it is smaller than the sum of its proper divisors (17959731334102).

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

12012100000000 is an frugal number, since it uses more digits than its factorization.

12012100000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120177 (or 120128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 12012100000000 its reverse (121021), we get a palindrome (12012100121021).

The spelling of 12012100000000 in words is "twelve trillion, twelve billion, one hundred million", and thus it is an aban number.