121646616 has 192 divisors, whose sum is σ = 389743200. Its totient is φ = 31352832.

The previous prime is 121646599. The next prime is 121646617. The reversal of 121646616 is 616646121.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121646617) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1115970 + ... + 1116078.

Almost surely, 2^121646616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121646616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194871600).

121646616 is an abundant number, since it is smaller than the sum of its proper divisors (268096584).

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

121646616 is a wasteful number, since it uses less digits than its factorization.

121646616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 121646616 is about 11029.3524741936. The cubic root of 121646616 is about 495.4882316824.

The spelling of 121646616 in words is "one hundred twenty-one million, six hundred forty-six thousand, six hundred sixteen".