211120231001120 has 144 divisors (see below), whose sum is σ = 580388657388120. Its totient is φ = 72360996470784.

The previous prime is 211120231001063. The next prime is 211120231001159. The reversal of 211120231001120 is 21100132021112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 209706196087696 + 1414034913424 = 14481236^2 + 1189132^2 .

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 23 ways as a sum of consecutive naturals, for example, 20301986 + ... + 28886174.

Almost surely, 2^{211120231001120} is an apocalyptic number.

211120231001120 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 211120231001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290194328694060).

211120231001120 is an abundant number, since it is smaller than the sum of its proper divisors (369268426387000).

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

211120231001120 is a wasteful number, since it uses less digits than its factorization.

211120231001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8587355 (or 8587340 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 211120231001120 its reverse (21100132021112), we get a palindrome (232220363022232).

The spelling of 211120231001120 in words is "two hundred eleven trillion, one hundred twenty billion, two hundred thirty-one million, one thousand, one hundred twenty".