12024132960 has 192 divisors, whose sum is σ = 43415834112. Its totient is φ = 2740187136.

The previous prime is 12024132943. The next prime is 12024132973. The reversal of 12024132960 is 6923142021.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160764 + ... + 1171076.

It is an arithmetic number, because the mean of its divisors is an integer number (226124136).

Almost surely, 2^12024132960 is an apocalyptic number.

12024132960 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 12024132960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21707917056).

12024132960 is an abundant number, since it is smaller than the sum of its proper divisors (31391701152).

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

12024132960 is a wasteful number, since it uses less digits than its factorization.

12024132960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

Adding to 12024132960 its reverse (6923142021), we get a palindrome (18947274981).

The spelling of 12024132960 in words is "twelve billion, twenty-four million, one hundred thirty-two thousand, nine hundred sixty".