12072417280 has 384 divisors, whose sum is σ = 36852641280. Its totient is φ = 3686400000.

The previous prime is 12072417257. The next prime is 12072417283. The reversal of 12072417280 is 8271427021.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12072417283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48097155 + ... + 48097405.

It is an arithmetic number, because the mean of its divisors is an integer number (95970420).

Almost surely, 2^12072417280 is an apocalyptic number.

12072417280 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 12072417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18426320640).

12072417280 is an abundant number, since it is smaller than the sum of its proper divisors (24780224000).

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

12072417280 is a wasteful number, since it uses less digits than its factorization.

12072417280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 12072417280 in words is "twelve billion, seventy-two million, four hundred seventeen thousand, two hundred eighty".