24042012120 has 192 divisors, whose sum is σ = 89361792000. Its totient is φ = 5491448064.

The previous prime is 24042012103. The next prime is 24042012133. The reversal of 24042012120 is 2121024042.

24042012120 is a `hidden beast` number, since 240 + 420 + 1 + 2 + 1 + 2 + 0 = 666.

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 = 24042012093 and 24042012102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5135941 + ... + 5140619.

It is an arithmetic number, because the mean of its divisors is an integer number (465426000).

Almost surely, 2^24042012120 is an apocalyptic number.

24042012120 is a gapful number since it is divisible by the number (20) 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 24042012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44680896000).

24042012120 is an abundant number, since it is smaller than the sum of its proper divisors (65319779880).

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

24042012120 is a wasteful number, since it uses less digits than its factorization.

24042012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6742 (or 6735 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 24042012120 its reverse (2121024042), we get a palindrome (26163036162).

The spelling of 24042012120 in words is "twenty-four billion, forty-two million, twelve thousand, one hundred twenty".