12024259304640 has 336 divisors, whose sum is σ = 41972071325184. Its totient is φ = 2914353981440.

The previous prime is 12024259304567. The next prime is 12024259304693. The reversal of 12024259304640 is 4640395242021.

It is a junction number, because it is equal to n+sod(n) for n = 12024259304592 and 12024259304601.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797198539 + ... + 797213621.

It is an arithmetic number, because the mean of its divisors is an integer number (124916878944).

Almost surely, 2^{12024259304640} is an apocalyptic number.

12024259304640 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 12024259304640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20986035662592).

12024259304640 is an abundant number, since it is smaller than the sum of its proper divisors (29947812020544).

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

12024259304640 is a wasteful number, since it uses less digits than its factorization.

12024259304640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21988 (or 21967 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 12024259304640 in words is "twelve trillion, twenty-four billion, two hundred fifty-nine million, three hundred four thousand, six hundred forty".