211220021120 has 64 divisors (see below), whose sum is σ = 506043901440. Its totient is φ = 84304619520.

The previous prime is 211220020993. The next prime is 211220021197. The reversal of 211220021120 is 21120022112.

211220021120 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 (64).

It is a super-2 number, since 2×211220021120² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220021095 and 211220021104.

It is a congruent number.

It is an unprimeable number.

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, 62912 + ... + 652991.

It is an arithmetic number, because the mean of its divisors is an integer number (7906935960).

Almost surely, 2^211220021120 is an apocalyptic number.

211220021120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220021120 is an abundant number, since it is smaller than the sum of its proper divisors (294823880320).

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

211220021120 is an equidigital number, since it uses as much as digits as its factorization.

211220021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716383 (or 716371 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211220021120 its reverse (21120022112), we get a palindrome (232340043232).

The spelling of 211220021120 in words is "two hundred eleven billion, two hundred twenty million, twenty-one thousand, one hundred twenty".