12075732416 has 224 divisors, whose sum is σ = 28419552000. Its totient is φ = 5033041920.

The previous prime is 12075732373. The next prime is 12075732421. The reversal of 12075732416 is 61423757021.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 12075732416.

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, 81045110 + ... + 81045258.

It is an arithmetic number, because the mean of its divisors is an integer number (126873000).

Almost surely, 2^12075732416 is an apocalyptic number.

12075732416 is a gapful number since it is divisible by the number (16) 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 12075732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14209776000).

12075732416 is an abundant number, since it is smaller than the sum of its proper divisors (16343819584).

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

12075732416 is a wasteful number, since it uses less digits than its factorization.

12075732416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 12075732416 in words is "twelve billion, seventy-five million, seven hundred thirty-two thousand, four hundred sixteen".