2011212020000 has 120 divisors (see below), whose sum is σ = 5010518620800. Its totient is φ = 794300832000.

The previous prime is 2011212019979. The next prime is 2011212020011. The reversal of 2011212020000 is 202121102.

It is a happy number.

It is a super-3 number, since 3×2011212020000³ (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 943541 + ... + 2216459.

It is an arithmetic number, because the mean of its divisors is an integer number (41754321840).

Almost surely, 2^{2011212020000} is an apocalyptic number.

2011212020000 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 2011212020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505259310400).

2011212020000 is an abundant number, since it is smaller than the sum of its proper divisors (2999306600800).

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

2011212020000 is an equidigital number, since it uses as much as digits as its factorization.

2011212020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273028 (or 1273005 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2011212020000 its reverse (202121102), we get a palindrome (2011414141102).

The spelling of 2011212020000 in words is "two trillion, eleven billion, two hundred twelve million, twenty thousand".