2122011112000 has 112 divisors (see below), whose sum is σ = 5659403913072. Its totient is φ = 783511756800.

The previous prime is 2122011111989. The next prime is 2122011112007. The reversal of 2122011112000 is 2111102212.

It can be written as a sum of positive squares in 8 ways, for example, as 1734868316736 + 387142795264 = 1317144^2 + 622208^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (2122011112007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10097977 + ... + 10305976.

It is an arithmetic number, because the mean of its divisors is an integer number (50530392081).

Almost surely, 2^{2122011112000} is an apocalyptic number.

2122011112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122011112000 is an abundant number, since it is smaller than the sum of its proper divisors (3537392801072).

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

2122011112000 is a wasteful number, since it uses less digits than its factorization.

2122011112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20403993 (or 20403973 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122011112000 its reverse (2111102212), we get a palindrome (2124122214212).

The spelling of 2122011112000 in words is "two trillion, one hundred twenty-two billion, eleven million, one hundred twelve thousand".