211123110320 has 80 divisors (see below), whose sum is σ = 491971136832. Its totient is φ = 84258570240.

The previous prime is 211123110311. The next prime is 211123110379. The reversal of 211123110320 is 23011321112.

211123110320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×211123110320² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 101451680 + ... + 101453760.

Almost surely, 2^211123110320 is an apocalyptic number.

211123110320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211123110320 is an abundant number, since it is smaller than the sum of its proper divisors (280848026512).

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

211123110320 is a wasteful number, since it uses less digits than its factorization.

211123110320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4350 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 211123110320 its reverse (23011321112), we get a palindrome (234134431432).

The spelling of 211123110320 in words is "two hundred eleven billion, one hundred twenty-three million, one hundred ten thousand, three hundred twenty".