211111222011120 has 640 divisors, whose sum is σ = 743140658810880. Its totient is φ = 55072155156480.

The previous prime is 211111222011073. The next prime is 211111222011167. The reversal of 211111222011120 is 21110222111112.

It is a happy number.

211111222011120 is a `hidden beast` number, since 211 + 1 + 112 + 220 + 1 + 1 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (211111222011073) and next prime (211111222011167).

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

It is a junction number, because it is equal to n+sod(n) for n = 211111222011093 and 211111222011102.

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 127 ways as a sum of consecutive naturals, for example, 12800041594 + ... + 12800058086.

It is an arithmetic number, because the mean of its divisors is an integer number (1161157279392).

Almost surely, 2^{211111222011120} is an apocalyptic number.

211111222011120 is a gapful number since it is divisible by the number (20) 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 211111222011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371570329405440).

211111222011120 is an abundant number, since it is smaller than the sum of its proper divisors (532029436799760).

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

211111222011120 is a wasteful number, since it uses less digits than its factorization.

211111222011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17190 (or 17178 counting only the distinct ones).

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

Adding to 211111222011120 its reverse (21110222111112), we get a palindrome (232221444122232).

The spelling of 211111222011120 in words is "two hundred eleven trillion, one hundred eleven billion, two hundred twenty-two million, eleven thousand, one hundred twenty".