12013467840 has 504 divisors, whose sum is σ = 46496307312. Its totient is φ = 2823413760.

The previous prime is 12013467833. The next prime is 12013467857. The reversal of 12013467840 is 4876431021.

12013467840 is a `hidden beast` number, since 1 + 201 + 346 + 78 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12013467795 and 12013467804.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43369782 + ... + 43370058.

It is an arithmetic number, because the mean of its divisors is an integer number (92254578).

Almost surely, 2^12013467840 is an apocalyptic number.

12013467840 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 12013467840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23248153656).

12013467840 is an abundant number, since it is smaller than the sum of its proper divisors (34482839472).

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

12013467840 is a wasteful number, since it uses less digits than its factorization.

12013467840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 12013467840 its reverse (4876431021), we get a palindrome (16889898861).

The spelling of 12013467840 in words is "twelve billion, thirteen million, four hundred sixty-seven thousand, eight hundred forty".