2132146412312 has 96 divisors (see below), whose sum is σ = 4767869524320. Its totient is φ = 890746698240.

The previous prime is 2132146412303. The next prime is 2132146412317.

2132146412312 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132146412317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19440653 + ... + 19550019.

It is an arithmetic number, because the mean of its divisors is an integer number (49665307545).

Almost surely, 2^{2132146412312} 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 2132146412312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383934762160).

2132146412312 is an abundant number, since it is smaller than the sum of its proper divisors (2635723112008).

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

2132146412312 is a wasteful number, since it uses less digits than its factorization.

2132146412312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110641 (or 110630 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The spelling of 2132146412312 in words is "two trillion, one hundred thirty-two billion, one hundred forty-six million, four hundred twelve thousand, three hundred twelve".