120024131424 has 48 divisors (see below), whose sum is σ = 315589478400. Its totient is φ = 39941233280.

The previous prime is 120024131417. The next prime is 120024131429. The reversal of 120024131424 is 424131420021.

120024131424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 120024131394 and 120024131403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120024131429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 986112 + ... + 1101119.

It is an arithmetic number, because the mean of its divisors is an integer number (6574780800).

Almost surely, 2^120024131424 is an apocalyptic number.

It is an amenable number.

120024131424 is an abundant number, since it is smaller than the sum of its proper divisors (195565346976).

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

120024131424 is a wasteful number, since it uses less digits than its factorization.

120024131424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087843 (or 2087835 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 120024131424 its reverse (424131420021), we get a palindrome (544155551445).

It can be divided in two parts, 1200241 and 31424, that added together give a triangular number (1231665 = T₁₅₆₉).

The spelling of 120024131424 in words is "one hundred twenty billion, twenty-four million, one hundred thirty-one thousand, four hundred twenty-four".