121545216 has 120 divisors (see below), whose sum is σ = 377957580. Its totient is φ = 37380096.

The previous prime is 121545211. The next prime is 121545227. The reversal of 121545216 is 612545121.

It can be written as a sum of positive squares in 2 ways, for example, as 118722816 + 2822400 = 10896^2 + 1680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 121545216.

It is not an unprimeable number, because it can be changed into a prime (121545211) by changing a digit.

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, 58890 + ... + 60918.

Almost surely, 2^121545216 is an apocalyptic number.

121545216 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 121545216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188978790).

121545216 is an abundant number, since it is smaller than the sum of its proper divisors (256412364).

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

121545216 is a wasteful number, since it uses less digits than its factorization.

121545216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2047 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 121545216 is about 11024.7546911485. The cubic root of 121545216 is about 495.3505200197.

The spelling of 121545216 in words is "one hundred twenty-one million, five hundred forty-five thousand, two hundred sixteen".