12120834364212 has 768 divisors, whose sum is σ = 37142422732800. Its totient is φ = 2997509898240.

The previous prime is 12120834364183. The next prime is 12120834364213. The reversal of 12120834364212 is 21246343802121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12120834364213) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12935788608 + ... + 12935789544.

It is an arithmetic number, because the mean of its divisors is an integer number (48362529600).

Almost surely, 2^{12120834364212} is an apocalyptic number.

12120834364212 is a gapful number since it is divisible by the number (12) 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 12120834364212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571211366400).

12120834364212 is an abundant number, since it is smaller than the sum of its proper divisors (25021588368588).

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

12120834364212 is a wasteful number, since it uses less digits than its factorization.

12120834364212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 12120834364212 in words is "twelve trillion, one hundred twenty billion, eight hundred thirty-four million, three hundred sixty-four thousand, two hundred twelve".