211120211222112 has 96 divisors (see below), whose sum is σ = 557305939008000. Its totient is φ = 69977874101760.

The previous prime is 211120211222093. The next prime is 211120211222147. The reversal of 211120211222112 is 211222112021112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181851993 + ... + 183009255.

It is an arithmetic number, because the mean of its divisors is an integer number (5805270198000).

Almost surely, 2^{211120211222112} 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 211120211222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278652969504000).

211120211222112 is an abundant number, since it is smaller than the sum of its proper divisors (346185727785888).

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

211120211222112 is a wasteful number, since it uses less digits than its factorization.

211120211222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167956 (or 1167948 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 211120211222112 its reverse (211222112021112), we get a palindrome (422342323243224).

The spelling of 211120211222112 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-two thousand, one hundred twelve".