121107216 has 120 divisors (see below), whose sum is σ = 341957280. Its totient is φ = 36827136.

The previous prime is 121107211. The next prime is 121107229. The reversal of 121107216 is 612701121.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 121107192 and 121107201.

It is not an unprimeable number, because it can be changed into a prime (121107211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248480 + ... + 1248576.

It is an arithmetic number, because the mean of its divisors is an integer number (2849644).

Almost surely, 2^121107216 is an apocalyptic number.

121107216 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 121107216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170978640).

121107216 is an abundant number, since it is smaller than the sum of its proper divisors (220850064).

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

121107216 is a wasteful number, since it uses less digits than its factorization.

121107216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 121107216 is about 11004.8723754526. The cubic root of 121107216 is about 494.7547892721.

Adding to 121107216 its reverse (612701121), we get a palindrome (733808337).

The spelling of 121107216 in words is "one hundred twenty-one million, one hundred seven thousand, two hundred sixteen".