12272478480 has 200 divisors, whose sum is σ = 44867961600. Its totient is φ = 3100384512.

The previous prime is 12272478473. The next prime is 12272478481. The reversal of 12272478480 is 8487427221.

12272478480 is a `hidden beast` number, since 122 + 7 + 2 + 47 + 8 + 480 = 666.

It is a super-2 number, since 2×12272478480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12272478481) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73281 + ... + 172959.

It is an arithmetic number, because the mean of its divisors is an integer number (224339808).

Almost surely, 2^12272478480 is an apocalyptic number.

12272478480 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 12272478480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22433980800).

12272478480 is an abundant number, since it is smaller than the sum of its proper divisors (32595483120).

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

12272478480 is a wasteful number, since it uses less digits than its factorization.

12272478480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99723 (or 99708 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 12272478480 in words is "twelve billion, two hundred seventy-two million, four hundred seventy-eight thousand, four hundred eighty".