121132032 has 176 divisors, whose sum is σ = 380447232. Its totient is φ = 33546240.

The previous prime is 121132003. The next prime is 121132051. The reversal of 121132032 is 230231121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924607 + ... + 924737.

It is an arithmetic number, because the mean of its divisors is an integer number (2161632).

Almost surely, 2^121132032 is an apocalyptic number.

121132032 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 121132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190223616).

121132032 is an abundant number, since it is smaller than the sum of its proper divisors (259315200).

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

121132032 is a wasteful number, since it uses less digits than its factorization.

121132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 121132032 is about 11005.9998182809. Note that the first 3 decimals coincide. The cubic root of 121132032 is about 494.7885802571.

Adding to 121132032 its reverse (230231121), we get a palindrome (351363153).

The spelling of 121132032 in words is "one hundred twenty-one million, one hundred thirty-two thousand, thirty-two".