12280575156480 has 216 divisors, whose sum is σ = 42726889558080. Its totient is φ = 3256524410880.

The previous prime is 12280575156467. The next prime is 12280575156491. The reversal of 12280575156480 is 8465157508221.

12280575156480 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 0 + 5 + 7 + 5 + 156 + 480 = 666.

It is a super-3 number, since 3×12280575156480³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 915636 + ... + 5039795.

It is an arithmetic number, because the mean of its divisors is an integer number (197809673880).

Almost surely, 2^{12280575156480} is an apocalyptic number.

12280575156480 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 12280575156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363444779040).

12280575156480 is an abundant number, since it is smaller than the sum of its proper divisors (30446314401600).

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

12280575156480 is a wasteful number, since it uses less digits than its factorization.

12280575156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955637 (or 5955620 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 12280575156480 in words is "twelve trillion, two hundred eighty billion, five hundred seventy-five million, one hundred fifty-six thousand, four hundred eighty".