2112120221311 has 8 divisors (see below), whose sum is σ = 2169109566720. Its totient is φ = 2055632985048.

The previous prime is 2112120221297. The next prime is 2112120221317. The reversal of 2112120221311 is 1131220212112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2112120221311 - 2⁹ = 2112120220799 is a prime.

It is a super-3 number, since 3×2112120221311³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112120221317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125518761 + ... + 125535586.

It is an arithmetic number, because the mean of its divisors is an integer number (271138695840).

Almost surely, 2^{2112120221311} is an apocalyptic number.

2112120221311 is a deficient number, since it is larger than the sum of its proper divisors (56989345409).

2112120221311 is a wasteful number, since it uses less digits than its factorization.

2112120221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251054573.

The product of its (nonzero) digits is 96, while the sum is 19.

Adding to 2112120221311 its reverse (1131220212112), we get a palindrome (3243340433423).

The spelling of 2112120221311 in words is "two trillion, one hundred twelve billion, one hundred twenty million, two hundred twenty-one thousand, three hundred eleven".