211233120 has 192 divisors, whose sum is σ = 776563200. Its totient is φ = 48244224.

The previous prime is 211233097. The next prime is 211233149. The reversal of 211233120 is 21332112.

211233120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 211233120.

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, 163999 + ... + 165281.

It is an arithmetic number, because the mean of its divisors is an integer number (4044600).

Almost surely, 2^211233120 is an apocalyptic number.

211233120 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 211233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388281600).

211233120 is an abundant number, since it is smaller than the sum of its proper divisors (565330080).

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

211233120 is a wasteful number, since it uses less digits than its factorization.

211233120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 211233120 is about 14533.8611524949. The cubic root of 211233120 is about 595.5533491251.

Adding to 211233120 its reverse (21332112), we get a palindrome (232565232).

The spelling of 211233120 in words is "two hundred eleven million, two hundred thirty-three thousand, one hundred twenty".