12071946240 has 384 divisors, whose sum is σ = 43872192000. Its totient is φ = 3147300864.

The previous prime is 12071946239. The next prime is 12071946259. The reversal of 12071946240 is 4264917021.

It is a happy number.

12071946240 is a `hidden beast` number, since 1 + 20 + 7 + 1 + 9 + 4 + 624 + 0 = 666.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 12071946195 and 12071946204.

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, 12994096 + ... + 12995024.

It is an arithmetic number, because the mean of its divisors is an integer number (114250500).

Almost surely, 2^12071946240 is an apocalyptic number.

12071946240 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 12071946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936096000).

12071946240 is an abundant number, since it is smaller than the sum of its proper divisors (31800245760).

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

12071946240 is an equidigital number, since it uses as much as digits as its factorization.

12071946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12071946240 in words is "twelve billion, seventy-one million, nine hundred forty-six thousand, two hundred forty".