12467208241152 has 1440 divisors, whose sum is σ = 47507599319040. Its totient is φ = 3204584570880.

The previous prime is 12467208241141. The next prime is 12467208241193. The reversal of 12467208241152 is 25114280276421.

12467208241152 is a `hidden beast` number, since 1 + 2 + 46 + 72 + 0 + 82 + 411 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12467208241098 and 12467208241107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8475327777 + ... + 8475329247.

It is an arithmetic number, because the mean of its divisors is an integer number (32991388416).

Almost surely, 2^{12467208241152} is an apocalyptic number.

12467208241152 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 12467208241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23753799659520).

12467208241152 is an abundant number, since it is smaller than the sum of its proper divisors (35040391077888).

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

12467208241152 is a wasteful number, since it uses less digits than its factorization.

12467208241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1562 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 12467208241152 in words is "twelve trillion, four hundred sixty-seven billion, two hundred eight million, two hundred forty-one thousand, one hundred fifty-two".