211221011120 has 120 divisors (see below), whose sum is σ = 604870732224. Its totient is φ = 68158691328.

The previous prime is 211221011051. The next prime is 211221011167. The reversal of 211221011120 is 21110122112.

It is a super-2 number, since 2×211221011120² (a number of 23 digits) contains 22 as substring.

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 = 211221011095 and 211221011104.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1518152 + ... + 1651431.

Almost surely, 2^211221011120 is an apocalyptic number.

211221011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211221011120 is an abundant number, since it is smaller than the sum of its proper divisors (393649721104).

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

211221011120 is a wasteful number, since it uses less digits than its factorization.

211221011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169627 (or 3169614 counting only the distinct ones).

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

Adding to 211221011120 its reverse (21110122112), we get a palindrome (232331133232).

The spelling of 211221011120 in words is "two hundred eleven billion, two hundred twenty-one million, eleven thousand, one hundred twenty".