211120321320 has 320 divisors, whose sum is σ = 735048864000. Its totient is φ = 54284815872.

The previous prime is 211120321309. The next prime is 211120321333. The reversal of 211120321320 is 23123021112.

211120321320 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 20 + 321 + 320 = 666.

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 = 211120321293 and 211120321302.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133704291 + ... + 133705869.

It is an arithmetic number, because the mean of its divisors is an integer number (2297027700).

Almost surely, 2^211120321320 is an apocalyptic number.

211120321320 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 211120321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367524432000).

211120321320 is an abundant number, since it is smaller than the sum of its proper divisors (523928542680).

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

211120321320 is a wasteful number, since it uses less digits than its factorization.

211120321320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3041 counting only the distinct ones).

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

Adding to 211120321320 its reverse (23123021112), we get a palindrome (234243342432).

The spelling of 211120321320 in words is "two hundred eleven billion, one hundred twenty million, three hundred twenty-one thousand, three hundred twenty".