2135210125312 has 144 divisors (see below), whose sum is σ = 4736703666240. Its totient is φ = 961467555840.

The previous prime is 2135210125289. The next prime is 2135210125313.

2135210125312 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2135210125313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26475193 + ... + 26555719.

It is an arithmetic number, because the mean of its divisors is an integer number (32893775460).

Almost surely, 2^{2135210125312} is an apocalyptic number.

2135210125312 is a gapful number since it is divisible by the number (22) 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 2135210125312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368351833120).

2135210125312 is an abundant number, since it is smaller than the sum of its proper divisors (2601493540928).

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

2135210125312 is a wasteful number, since it uses less digits than its factorization.

2135210125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80678 (or 80647 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 2135210125312 in words is "two trillion, one hundred thirty-five billion, two hundred ten million, one hundred twenty-five thousand, three hundred twelve".