121664424 has 128 divisors (see below), whose sum is σ = 359424000. Its totient is φ = 33606144.

The previous prime is 121664423. The next prime is 121664437. The reversal of 121664424 is 424466121.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 121664391 and 121664400.

It is not an unprimeable number, because it can be changed into a prime (121664423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181157 + ... + 1181259.

It is an arithmetic number, because the mean of its divisors is an integer number (2808000).

Almost surely, 2^121664424 is an apocalyptic number.

121664424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121664424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179712000).

121664424 is an abundant number, since it is smaller than the sum of its proper divisors (237759576).

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

121664424 is a wasteful number, since it uses less digits than its factorization.

121664424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 121664424 is about 11030.1597449901. The cubic root of 121664424 is about 495.5124088829.

The spelling of 121664424 in words is "one hundred twenty-one million, six hundred sixty-four thousand, four hundred twenty-four".