121332132 has 72 divisors (see below), whose sum is σ = 314100696. Its totient is φ = 39481344.

The previous prime is 121332121. The next prime is 121332191. The reversal of 121332132 is 231233121.

It can be written as a sum of positive squares in 4 ways, for example, as 14333796 + 106998336 = 3786^2 + 10344^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359868 + ... + 360204.

Almost surely, 2^121332132 is an apocalyptic number.

121332132 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 121332132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157050348).

121332132 is an abundant number, since it is smaller than the sum of its proper divisors (192768564).

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

121332132 is a wasteful number, since it uses less digits than its factorization.

121332132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 552 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 121332132 is about 11015.0865634365. The cubic root of 121332132 is about 495.0608801765.

Adding to 121332132 its reverse (231233121), we get a palindrome (352565253).

The spelling of 121332132 in words is "one hundred twenty-one million, three hundred thirty-two thousand, one hundred thirty-two".