211220511320 has 256 divisors, whose sum is σ = 631973664000. Its totient is φ = 62914682880.

The previous prime is 211220511301. The next prime is 211220511329. The reversal of 211220511320 is 23115022112.

211220511320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×211220511320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211220511292 and 211220511301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211220511329) 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 63 ways as a sum of consecutive naturals, for example, 2997290 + ... + 3066950.

It is an arithmetic number, because the mean of its divisors is an integer number (2468647125).

Almost surely, 2^211220511320 is an apocalyptic number.

211220511320 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 211220511320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315986832000).

211220511320 is an abundant number, since it is smaller than the sum of its proper divisors (420753152680).

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

211220511320 is a wasteful number, since it uses less digits than its factorization.

211220511320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69723 (or 69705 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 211220511320 its reverse (23115022112), we get a palindrome (234335533432).

The spelling of 211220511320 in words is "two hundred eleven billion, two hundred twenty million, five hundred eleven thousand, three hundred twenty".