121211112 has 64 divisors (see below), whose sum is σ = 339537600. Its totient is φ = 35735040.

The previous prime is 121211063. The next prime is 121211113. The reversal of 121211112 is 211112121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (121211113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3564 + ... + 15972.

It is an arithmetic number, because the mean of its divisors is an integer number (5305275).

Almost surely, 2^121211112 is an apocalyptic number.

121211112 is a gapful number since it is divisible by the number (12) 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 121211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169768800).

121211112 is an abundant number, since it is smaller than the sum of its proper divisors (218326488).

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

121211112 is a wasteful number, since it uses less digits than its factorization.

121211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12466 (or 12462 counting only the distinct ones).

The product of its digits is 8, while the sum is 12.

The square root of 121211112 is about 11009.5918180467. The cubic root of 121211112 is about 494.8962296503.

Adding to 121211112 its reverse (211112121), we get a palindrome (332323233).

It can be divided in two parts, 121 and 211112, that multiplied together give a palindrome (25544552).

The spelling of 121211112 in words is "one hundred twenty-one million, two hundred eleven thousand, one hundred twelve".