121350816 has 144 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 38384640.

The previous prime is 121350791. The next prime is 121350821. The reversal of 121350816 is 618053121.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 121350816.

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, 507625 + ... + 507863.

It is an arithmetic number, because the mean of its divisors is an integer number (2522520).

Almost surely, 2^121350816 is an apocalyptic number.

121350816 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 121350816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

121350816 is an abundant number, since it is smaller than the sum of its proper divisors (241892064).

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

121350816 is a wasteful number, since it uses less digits than its factorization.

121350816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 121350816 is about 11015.9346403290. The cubic root of 121350816 is about 495.0862904357.

Adding to 121350816 its product of nonzero digits (1440), we get a square (121352256 = 11016²).

The spelling of 121350816 in words is "one hundred twenty-one million, three hundred fifty thousand, eight hundred sixteen".