2132424242312 has 384 divisors, whose sum is σ = 5462686656000. Its totient is φ = 770490040320.

The previous prime is 2132424242257. The next prime is 2132424242317.

2132424242312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2132424242312² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2132424242317) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 403789112 + ... + 403794392.

It is an arithmetic number, because the mean of its divisors is an integer number (14225746500).

Almost surely, 2^{2132424242312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132424242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731343328000).

2132424242312 is an abundant number, since it is smaller than the sum of its proper divisors (3330262413688).

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

2132424242312 is a wasteful number, since it uses less digits than its factorization.

2132424242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5458 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The spelling of 2132424242312 in words is "two trillion, one hundred thirty-two billion, four hundred twenty-four million, two hundred forty-two thousand, three hundred twelve".