212111201120 has 192 divisors, whose sum is σ = 624188436480. Its totient is φ = 66320529408.

The previous prime is 212111201119. The next prime is 212111201123. The reversal of 212111201120 is 21102111212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212111201095 and 212111201104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111201123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1120721 + ... + 1296239.

It is an arithmetic number, because the mean of its divisors is an integer number (3250981440).

Almost surely, 2^212111201120 is an apocalyptic number.

212111201120 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 212111201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312094218240).

212111201120 is an abundant number, since it is smaller than the sum of its proper divisors (412077235360).

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

212111201120 is a wasteful number, since it uses less digits than its factorization.

212111201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175637 (or 175629 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212111201120 its reverse (21102111212), we get a palindrome (233213312332).

The spelling of 212111201120 in words is "two hundred twelve billion, one hundred eleven million, two hundred one thousand, one hundred twenty".