2032312212000 has 576 divisors, whose sum is σ = 8249498659584. Its totient is φ = 464165683200.

The previous prime is 2032312211977. The next prime is 2032312212001. The reversal of 2032312212000 is 2122132302.

2032312212000 is a `hidden beast` number, since 20 + 323 + 122 + 1 + 200 + 0 = 666.

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 (2032312212001) 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, 450321744 + ... + 450326256.

It is an arithmetic number, because the mean of its divisors is an integer number (14322046284).

Almost surely, 2^{2032312212000} is an apocalyptic number.

2032312212000 is a gapful number since it is divisible by the number (20) 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 2032312212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124749329792).

2032312212000 is an abundant number, since it is smaller than the sum of its proper divisors (6217186447584).

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

2032312212000 is a wasteful number, since it uses less digits than its factorization.

2032312212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6338 (or 6317 counting only the distinct ones).

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

Adding to 2032312212000 its reverse (2122132302), we get a palindrome (2034434344302).

The spelling of 2032312212000 in words is "two trillion, thirty-two billion, three hundred twelve million, two hundred twelve thousand".