2132002002312 has 192 divisors, whose sum is σ = 7110441636480. Its totient is φ = 561988094976.

The previous prime is 2132002002311. The next prime is 2132002002323.

2132002002312 is a `hidden beast` number, since 213 + 20 + 0 + 200 + 231 + 2 = 666.

2132002002312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2132002002311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12409348 + ... + 12579980.

It is an arithmetic number, because the mean of its divisors is an integer number (37033550190).

Almost surely, 2^{2132002002312} 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 2132002002312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555220818240).

2132002002312 is an abundant number, since it is smaller than the sum of its proper divisors (4978439634168).

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

2132002002312 is a wasteful number, since it uses less digits than its factorization.

2132002002312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172572 (or 172565 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The spelling of 2132002002312 in words is "two trillion, one hundred thirty-two billion, two million, two thousand, three hundred twelve".