24225120 has 72 divisors (see below), whose sum is σ = 82673136. Its totient is φ = 6459648.

The previous prime is 24225109. The next prime is 24225139. The reversal of 24225120 is 2152242.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 24225093 and 24225102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 6972 + ... + 9851.

It is an arithmetic number, because the mean of its divisors is an integer number (1148238).

Almost surely, 2^24225120 is an apocalyptic number.

24225120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24225120 is an abundant number, since it is smaller than the sum of its proper divisors (58448016).

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

24225120 is a wasteful number, since it uses less digits than its factorization.

24225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16844 (or 16833 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 24225120 is about 4921.9020713541. The cubic root of 24225120 is about 289.3489954971.

Adding to 24225120 its reverse (2152242), we get a palindrome (26377362).

The spelling of 24225120 in words is "twenty-four million, two hundred twenty-five thousand, one hundred twenty".