211220121112 has 128 divisors (see below), whose sum is σ = 541776936960. Its totient is φ = 74529861120.

The previous prime is 211220121109. The next prime is 211220121169. The reversal of 211220121112 is 211121022112.

It is a super-2 number, since 2×211220121112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 175593 + ... + 673255.

It is an arithmetic number, because the mean of its divisors is an integer number (4232632320).

Almost surely, 2^211220121112 is an apocalyptic number.

211220121112 is a gapful number since it is divisible by the number (22) 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 211220121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270888468480).

211220121112 is an abundant number, since it is smaller than the sum of its proper divisors (330556815848).

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

211220121112 is a wasteful number, since it uses less digits than its factorization.

211220121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497753 (or 497749 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 211220121112 its reverse (211121022112), we get a palindrome (422341143224).

The spelling of 211220121112 in words is "two hundred eleven billion, two hundred twenty million, one hundred twenty-one thousand, one hundred twelve".