211120201022112 has 72 divisors (see below), whose sum is σ = 616599370921716. Its totient is φ = 68471416544256.

The previous prime is 211120201022089. The next prime is 211120201022123. The reversal of 211120201022112 is 211220102021112.

211120201022112 is a `hidden beast` number, since 211 + 1 + 20 + 201 + 0 + 221 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 207407349902736 + 3712851119376 = 14401644^2 + 1926876^2 .

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, 9906154933 + ... + 9906176244.

Almost surely, 2^{211120201022112} is an apocalyptic number.

It is an amenable number.

211120201022112 is an abundant number, since it is smaller than the sum of its proper divisors (405479169899604).

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

211120201022112 is a wasteful number, since it uses less digits than its factorization.

211120201022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19812331230 (or 19812331219 counting only the distinct ones).

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

Adding to 211120201022112 its reverse (211220102021112), we get a palindrome (422340303043224).

The spelling of 211120201022112 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred one million, twenty-two thousand, one hundred twelve".