211233031211120 has 80 divisors (see below), whose sum is σ = 517082000482080. Its totient is φ = 80028092851200.

The previous prime is 211233031211117. The next prime is 211233031211129. The reversal of 211233031211120 is 21112130332112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×211233031211120⁴ (a number of 58 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211233031211129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8997011 + ... + 22436850.

It is an arithmetic number, because the mean of its divisors is an integer number (6463525006026).

Almost surely, 2^{211233031211120} is an apocalyptic number.

211233031211120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211233031211120 is an abundant number, since it is smaller than the sum of its proper divisors (305848969270960).

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

211233031211120 is a wasteful number, since it uses less digits than its factorization.

211233031211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31438314 (or 31438308 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 211233031211120 its reverse (21112130332112), we get a palindrome (232345161543232).

The spelling of 211233031211120 in words is "two hundred eleven trillion, two hundred thirty-three billion, thirty-one million, two hundred eleven thousand, one hundred twenty".