211121311120 has 40 divisors (see below), whose sum is σ = 512198663616. Its totient is φ = 80776848768.

The previous prime is 211121311091. The next prime is 211121311123. The reversal of 211121311120 is 21113121112.

It is a happy number.

211121311120 is digitally balanced in base 2, 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 (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 211121311094 and 211121311103.

It is not an unprimeable number, because it can be changed into a prime (211121311123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57368082 + ... + 57371761.

Almost surely, 2^211121311120 is an apocalyptic number.

211121311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121311120 is an abundant number, since it is smaller than the sum of its proper divisors (301077352496).

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

211121311120 is a wasteful number, since it uses less digits than its factorization.

211121311120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114739879 (or 114739873 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 211121311120 its reverse (21113121112), we get a palindrome (232234432232).

The spelling of 211121311120 in words is "two hundred eleven billion, one hundred twenty-one million, three hundred eleven thousand, one hundred twenty".