121650816 has 128 divisors (see below), whose sum is σ = 372879360. Its totient is φ = 34421760.

The previous prime is 121650799. The next prime is 121650817. The reversal of 121650816 is 618056121.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (121650817) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448761 + ... + 449031.

It is an arithmetic number, because the mean of its divisors is an integer number (2913120).

Almost surely, 2^121650816 is an apocalyptic number.

121650816 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 121650816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186439680).

121650816 is an abundant number, since it is smaller than the sum of its proper divisors (251228544).

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

121650816 is a wasteful number, since it uses less digits than its factorization.

121650816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 121650816 is about 11029.5428735737. The cubic root of 121650816 is about 495.4939340649.

The spelling of 121650816 in words is "one hundred twenty-one million, six hundred fifty thousand, eight hundred sixteen".