121623168 has 128 divisors (see below), whose sum is σ = 353687040. Its totient is φ = 36864000.

The previous prime is 121623163. The next prime is 121623223. The reversal of 121623168 is 861326121.

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

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

It is not an unprimeable number, because it can be changed into a prime (121623163) 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, 202068 + ... + 202668.

It is an arithmetic number, because the mean of its divisors is an integer number (2763180).

Almost surely, 2^121623168 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 121623168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176843520).

121623168 is an abundant number, since it is smaller than the sum of its proper divisors (232063872).

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

121623168 is a wasteful number, since it uses less digits than its factorization.

121623168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 121623168 is about 11028.2894412506. The cubic root of 121623168 is about 495.4563936831.

Adding to 121623168 its reverse (861326121), we get a palindrome (982949289).

The spelling of 121623168 in words is "one hundred twenty-one million, six hundred twenty-three thousand, one hundred sixty-eight".