211011221120 has 64 divisors (see below), whose sum is σ = 576512812800. Its totient is φ = 72346702848.

The previous prime is 211011221119. The next prime is 211011221123. The reversal of 211011221120 is 21122110112.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 211011221095 and 211011221104.

It is not an unprimeable number, because it can be changed into a prime (211011221123) 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, 23545880 + ... + 23554839.

It is an arithmetic number, because the mean of its divisors is an integer number (9008012700).

Almost surely, 2^211011221120 is an apocalyptic number.

211011221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211011221120 is an abundant number, since it is smaller than the sum of its proper divisors (365501591680).

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

211011221120 is an equidigital number, since it uses as much as digits as its factorization.

211011221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47100745 (or 47100733 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211011221120 its reverse (21122110112), we get a palindrome (232133331232).

The spelling of 211011221120 in words is "two hundred eleven billion, eleven million, two hundred twenty-one thousand, one hundred twenty".