211122221100012 has 144 divisors (see below), whose sum is σ = 551085472863744. Its totient is φ = 68098459968000.

The previous prime is 211122221099987. The next prime is 211122221100083. The reversal of 211122221100012 is 210001122221112.

211122221100012 is a `hidden beast` number, since 211 + 122 + 221 + 100 + 0 + 12 = 666.

211122221100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 1175548062 + ... + 1175727642.

Almost surely, 2^{211122221100012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211122221100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275542736431872).

211122221100012 is an abundant number, since it is smaller than the sum of its proper divisors (339963251763732).

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

211122221100012 is a wasteful number, since it uses less digits than its factorization.

211122221100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184440 (or 184435 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211122221100012 its reverse (210001122221112), we get a palindrome (421123343321124).

The spelling of 211122221100012 in words is "two hundred eleven trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred thousand, twelve".