2011212032000 has 384 divisors, whose sum is σ = 5201349098400. Its totient is φ = 775684096000.

The previous prime is 2011212031859. The next prime is 2011212032003. The reversal of 2011212032000 is 2302121102.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1265103053824 + 746108978176 = 1124768^2 + 863776^2 .

It is not an unprimeable number, because it can be changed into a prime (2011212032003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 934142924 + ... + 934145076.

Almost surely, 2^{2011212032000} is an apocalyptic number.

2011212032000 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 2011212032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600674549200).

2011212032000 is an abundant number, since it is smaller than the sum of its proper divisors (3190137066400).

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

2011212032000 is an equidigital number, since it uses as much as digits as its factorization.

2011212032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 2011212032000 its reverse (2302121102), we get a palindrome (2013514153102).

The spelling of 2011212032000 in words is "two trillion, eleven billion, two hundred twelve million, thirty-two thousand".