12024340992 has 480 divisors, whose sum is σ = 39067142400. Its totient is φ = 3542482944.

The previous prime is 12024340973. The next prime is 12024341041. The reversal of 12024340992 is 29904342021.

12024340992 is a `hidden beast` number, since 1 + 2 + 0 + 243 + 409 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 152206809 + ... + 152206887.

It is an arithmetic number, because the mean of its divisors is an integer number (81389880).

Almost surely, 2^12024340992 is an apocalyptic number.

12024340992 is a gapful number since it is divisible by the number (12) 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 12024340992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19533571200).

12024340992 is an abundant number, since it is smaller than the sum of its proper divisors (27042801408).

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

12024340992 is a wasteful number, since it uses less digits than its factorization.

12024340992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 12024340992 in words is "twelve billion, twenty-four million, three hundred forty thousand, nine hundred ninety-two".