121170816 has 320 divisors, whose sum is σ = 414691200. Its totient is φ = 34836480.

The previous prime is 121170793. The next prime is 121170821. The reversal of 121170816 is 618071121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 121170816.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3908721 + ... + 3908751.

It is an arithmetic number, because the mean of its divisors is an integer number (1295910).

Almost surely, 2^121170816 is an apocalyptic number.

121170816 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 121170816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207345600).

121170816 is an abundant number, since it is smaller than the sum of its proper divisors (293520384).

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

121170816 is a wasteful number, since it uses less digits than its factorization.

121170816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The square root of 121170816 is about 11007.7616253260. The cubic root of 121170816 is about 494.8413816845.

It can be divided in two parts, 1211 and 70816, that added together give a palindrome (72027).

The spelling of 121170816 in words is "one hundred twenty-one million, one hundred seventy thousand, eight hundred sixteen".