211221310320 has 120 divisors (see below), whose sum is σ = 751078173456. Its totient is φ = 53012404224.

The previous prime is 211221310277. The next prime is 211221310327. The reversal of 211221310320 is 23013122112.

211221310320 is a `hidden beast` number, since 2 + 1 + 12 + 21 + 310 + 320 = 666.

211221310320 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 (120).

It is a super-2 number, since 2×211221310320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211221310293 and 211221310302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221310327) 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 23 ways as a sum of consecutive naturals, for example, 8616082 + ... + 8640561.

Almost surely, 2^211221310320 is an apocalyptic number.

211221310320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221310320 is an abundant number, since it is smaller than the sum of its proper divisors (539856863136).

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

211221310320 is a wasteful number, since it uses less digits than its factorization.

211221310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17256679 (or 17256670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211221310320 its reverse (23013122112), we get a palindrome (234234432432).

The spelling of 211221310320 in words is "two hundred eleven billion, two hundred twenty-one million, three hundred ten thousand, three hundred twenty".