12042024960 has 384 divisors, whose sum is σ = 45570470400. Its totient is φ = 2656174080.

The previous prime is 12042024857. The next prime is 12042024971. The reversal of 12042024960 is 6942024021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6235195 + ... + 6237125.

It is an arithmetic number, because the mean of its divisors is an integer number (118673100).

Almost surely, 2^12042024960 is an apocalyptic number.

12042024960 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 12042024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785235200).

12042024960 is an abundant number, since it is smaller than the sum of its proper divisors (33528445440).

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

12042024960 is a wasteful number, since it uses less digits than its factorization.

12042024960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1977 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 12042024960 its reverse (6942024021), we get a palindrome (18984048981).

The spelling of 12042024960 in words is "twelve billion, forty-two million, twenty-four thousand, nine hundred sixty".