121244832 has 72 divisors (see below), whose sum is σ = 346702356. Its totient is φ = 40190976.

The previous prime is 121244807. The next prime is 121244843. The reversal of 121244832 is 238442121.

121244832 is a `hidden beast` number, since 1 + 212 + 448 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121088016 + 156816 = 11004^2 + 396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 121244796 and 121244805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55668 + ... + 57804.

Almost surely, 2^121244832 is an apocalyptic number.

121244832 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 121244832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173351178).

121244832 is an abundant number, since it is smaller than the sum of its proper divisors (225457524).

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

121244832 is a wasteful number, since it uses less digits than its factorization.

121244832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2339 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 121244832 is about 11011.1231034804. The cubic root of 121244832 is about 494.9421175048.

Adding to 121244832 its reverse (238442121), we get a palindrome (359686953).

The spelling of 121244832 in words is "one hundred twenty-one million, two hundred forty-four thousand, eight hundred thirty-two".