211120121220 has 96 divisors (see below), whose sum is σ = 647492227200. Its totient is φ = 51159865344.

The previous prime is 211120121167. The next prime is 211120121239. The reversal of 211120121220 is 22121021112.

211120121220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211120121220.

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 31 ways as a sum of consecutive naturals, for example, 3539050 + ... + 3598209.

It is an arithmetic number, because the mean of its divisors is an integer number (6744710700).

Almost surely, 2^211120121220 is an apocalyptic number.

211120121220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120121220 is an abundant number, since it is smaller than the sum of its proper divisors (436372105980).

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

211120121220 is a wasteful number, since it uses less digits than its factorization.

211120121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7137317 (or 7137315 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211120121220 its reverse (22121021112), we get a palindrome (233241142332).

The spelling of 211120121220 in words is "two hundred eleven billion, one hundred twenty million, one hundred twenty-one thousand, two hundred twenty".