121424000 has 64 divisors (see below), whose sum is σ = 301930200. Its totient is φ = 48563200.

The previous prime is 121423999. The next prime is 121424021. The reversal of 121424000 is 424121.

It can be written as a sum of positive squares in 4 ways, for example, as 6677056 + 114746944 = 2584^2 + 10712^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12206 + ... + 19794.

Almost surely, 2^121424000 is an apocalyptic number.

121424000 is a gapful number since it is divisible by the number (10) 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 121424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150965100).

121424000 is an abundant number, since it is smaller than the sum of its proper divisors (180506200).

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

121424000 is an frugal number, since it uses more digits than its factorization.

121424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7596 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 121424000 is about 11019.2558732430. The cubic root of 121424000 is about 495.1857956417.

Adding to 121424000 its reverse (424121), we get a palindrome (121848121).

The spelling of 121424000 in words is "one hundred twenty-one million, four hundred twenty-four thousand".