121332016 has 60 divisors (see below), whose sum is σ = 262024896. Its totient is φ = 54103680.

The previous prime is 121332011. The next prime is 121332019. The reversal of 121332016 is 610233121.

It is a junction number, because it is equal to n+sod(n) for n = 121331984 and 121332002.

It is not an unprimeable number, because it can be changed into a prime (121332011) 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 11 ways as a sum of consecutive naturals, for example, 199585 + ... + 200191.

Almost surely, 2^121332016 is an apocalyptic number.

121332016 is a gapful number since it is divisible by the number (16) 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 121332016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131012448).

121332016 is an abundant number, since it is smaller than the sum of its proper divisors (140692880).

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

121332016 is a wasteful number, since it uses less digits than its factorization.

121332016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 121332016 is about 11015.0812979297. The cubic root of 121332016 is about 495.0607224083.

Adding to 121332016 its reverse (610233121), we get a palindrome (731565137).

The spelling of 121332016 in words is "one hundred twenty-one million, three hundred thirty-two thousand, sixteen".