211121210320 has 40 divisors (see below), whose sum is σ = 496770767136. Its totient is φ = 83431029888.

The previous prime is 211121210317. The next prime is 211121210329. The reversal of 211121210320 is 23012121112.

211121210320 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 (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 = 211121210294 and 211121210303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211121210329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15891042 + ... + 15904321.

Almost surely, 2^211121210320 is an apocalyptic number.

211121210320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211121210320 is an abundant number, since it is smaller than the sum of its proper divisors (285649556816).

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

211121210320 is a wasteful number, since it uses less digits than its factorization.

211121210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31795459 (or 31795453 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211121210320 its reverse (23012121112), we get a palindrome (234133331432).

The spelling of 211121210320 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred ten thousand, three hundred twenty".