121114664 has 64 divisors (see below), whose sum is σ = 276177600. Its totient is φ = 49075200.

The previous prime is 121114657. The next prime is 121114673. The reversal of 121114664 is 466411121.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26294 + ... + 30554.

It is an arithmetic number, because the mean of its divisors is an integer number (4315275).

Almost surely, 2^121114664 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 121114664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138088800).

121114664 is an abundant number, since it is smaller than the sum of its proper divisors (155062936).

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

121114664 is a wasteful number, since it uses less digits than its factorization.

121114664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314 (or 4310 counting only the distinct ones).

The product of its digits is 1152, while the sum is 26.

The square root of 121114664 is about 11005.2107658145. The cubic root of 121114664 is about 494.7649314097.

Adding to 121114664 its reverse (466411121), we get a palindrome (587525785).

The spelling of 121114664 in words is "one hundred twenty-one million, one hundred fourteen thousand, six hundred sixty-four".