12467129472 has 256 divisors, whose sum is σ = 42301440000. Its totient is φ = 3540907008.

The previous prime is 12467129447. The next prime is 12467129473. The reversal of 12467129472 is 27492176421.

12467129472 is a `hidden beast` number, since 12 + 46 + 7 + 129 + 472 = 666.

It is a super-2 number, since 2×12467129472² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (12467129473) 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, 4328929 + ... + 4331807.

It is an arithmetic number, because the mean of its divisors is an integer number (165240000).

Almost surely, 2^12467129472 is an apocalyptic number.

12467129472 is a gapful number since it is divisible by the number (12) 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 12467129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21150720000).

12467129472 is an abundant number, since it is smaller than the sum of its proper divisors (29834310528).

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

12467129472 is a wasteful number, since it uses less digits than its factorization.

12467129472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3088 (or 3070 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 12467129472 in words is "twelve billion, four hundred sixty-seven million, one hundred twenty-nine thousand, four hundred seventy-two".