121616334 has 72 divisors (see below), whose sum is σ = 324593568. Its totient is φ = 32699520.

The previous prime is 121616329. The next prime is 121616393. The reversal of 121616334 is 433616121.

121616334 is a `hidden beast` number, since 1 + 21 + 6 + 1 + 633 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 121616298 and 121616307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10939 + ... + 19049.

It is an arithmetic number, because the mean of its divisors is an integer number (4508244).

Almost surely, 2^121616334 is an apocalyptic number.

121616334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121616334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162296784).

121616334 is an abundant number, since it is smaller than the sum of its proper divisors (202977234).

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

121616334 is a wasteful number, since it uses less digits than its factorization.

121616334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8150 (or 8140 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 121616334 is about 11027.9795973696. The cubic root of 121616334 is about 495.4471136189.

The spelling of 121616334 in words is "one hundred twenty-one million, six hundred sixteen thousand, three hundred thirty-four".