211112121222112 has 192 divisors, whose sum is σ = 480889332000000. Its totient is φ = 90221576232960.

The previous prime is 211112121222103. The next prime is 211112121222139. The reversal of 211112121222112 is 211222121211112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2555517064 + ... + 2555599672.

It is an arithmetic number, because the mean of its divisors is an integer number (2504631937500).

Almost surely, 2^{211112121222112} is an apocalyptic number.

211112121222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211112121222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240444666000000).

211112121222112 is an abundant number, since it is smaller than the sum of its proper divisors (269777210777888).

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

211112121222112 is a wasteful number, since it uses less digits than its factorization.

211112121222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85537 (or 85529 counting only the distinct ones).

The product of its digits is 128, while the sum is 22.

Adding to 211112121222112 its reverse (211222121211112), we get a palindrome (422334242433224).

The spelling of 211112121222112 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".