121433112 has 96 divisors (see below), whose sum is σ = 342638400. Its totient is φ = 38817792.

The previous prime is 121433099. The next prime is 121433129. The reversal of 121433112 is 211334121.

121433112 is a `hidden beast` number, since 121 + 433 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 210168 + ... + 210744.

It is an arithmetic number, because the mean of its divisors is an integer number (3569150).

Almost surely, 2^121433112 is an apocalyptic number.

121433112 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 121433112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171319200).

121433112 is an abundant number, since it is smaller than the sum of its proper divisors (221205288).

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

121433112 is a wasteful number, since it uses less digits than its factorization.

121433112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 698 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 121433112 is about 11019.6693235324. The cubic root of 121433112 is about 495.1981820456.

Adding to 121433112 its reverse (211334121), we get a palindrome (332767233).

The spelling of 121433112 in words is "one hundred twenty-one million, four hundred thirty-three thousand, one hundred twelve".