2134232324312 has 192 divisors, whose sum is σ = 4508491881600. Its totient is φ = 946243584000.

The previous prime is 2134232324293. The next prime is 2134232324339.

2134232324312 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2134232324312³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2968333889 + ... + 2968334607.

It is an arithmetic number, because the mean of its divisors is an integer number (23481728550).

Almost surely, 2^{2134232324312} is an apocalyptic number.

2134232324312 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 2134232324312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254245940800).

2134232324312 is an abundant number, since it is smaller than the sum of its proper divisors (2374259557288).

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

2134232324312 is a wasteful number, since it uses less digits than its factorization.

2134232324312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1258 (or 1243 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 2134232324312 in words is "two trillion, one hundred thirty-four billion, two hundred thirty-two million, three hundred twenty-four thousand, three hundred twelve".