211011222110112 has 72 divisors (see below), whose sum is σ = 616281086227716. Its totient is φ = 68436072032256.

The previous prime is 211011222110093. The next prime is 211011222110137.

It is a happy number.

211011222110112 is a `hidden beast` number, since 211 + 0 + 11 + 222 + 110 + 112 = 666.

211011222110112 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 201791229944976 + 9219992165136 = 14205324^2 + 3036444^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9901041433 + ... + 9901062744.

Almost surely, 2^{211011222110112} is an apocalyptic number.

It is an amenable number.

211011222110112 is an abundant number, since it is smaller than the sum of its proper divisors (405269864117604).

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

211011222110112 is a wasteful number, since it uses less digits than its factorization.

211011222110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19802104230 (or 19802104219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 211011222110112 in words is "two hundred eleven trillion, eleven billion, two hundred twenty-two million, one hundred ten thousand, one hundred twelve".