121343664 has 80 divisors (see below), whose sum is σ = 340256000. Its totient is φ = 37041408.

The previous prime is 121343639. The next prime is 121343681. The reversal of 121343664 is 466343121.

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

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, 86037 + ... + 87435.

It is an arithmetic number, because the mean of its divisors is an integer number (4253200).

Almost surely, 2^121343664 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 121343664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170128000).

121343664 is an abundant number, since it is smaller than the sum of its proper divisors (218912336).

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

121343664 is a wasteful number, since it uses less digits than its factorization.

121343664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 1556 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 121343664 is about 11015.6100148834. The cubic root of 121343664 is about 495.0765640165.

Adding to 121343664 its reverse (466343121), we get a palindrome (587686785).

The spelling of 121343664 in words is "one hundred twenty-one million, three hundred forty-three thousand, six hundred sixty-four".