211112112120 has 512 divisors, whose sum is σ = 803170529280. Its totient is φ = 43197235200.

The previous prime is 211112112091. The next prime is 211112112161. The reversal of 211112112120 is 21211211112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211112112120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162019389 + ... + 162020691.

It is an arithmetic number, because the mean of its divisors is an integer number (1568692440).

Almost surely, 2^211112112120 is an apocalyptic number.

211112112120 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 211112112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401585264640).

211112112120 is an abundant number, since it is smaller than the sum of its proper divisors (592058417160).

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

211112112120 is a wasteful number, since it uses less digits than its factorization.

211112112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211112112120 its reverse (21211211112), we get a palindrome (232323323232).

The spelling of 211112112120 in words is "two hundred eleven billion, one hundred twelve million, one hundred twelve thousand, one hundred twenty".