12467528304 has 480 divisors, whose sum is σ = 43063910400. Its totient is φ = 3035957760.

The previous prime is 12467528279. The next prime is 12467528329. The reversal of 12467528304 is 40382576421.

It is an interprime number because it is at equal distance from previous prime (12467528279) and next prime (12467528329).

It is a super-2 number, since 2×12467528304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 62650797 + ... + 62650995.

It is an arithmetic number, because the mean of its divisors is an integer number (89716480).

Almost surely, 2^12467528304 is an apocalyptic number.

12467528304 is a gapful number since it is divisible by the number (14) 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 12467528304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21531955200).

12467528304 is an abundant number, since it is smaller than the sum of its proper divisors (30596382096).

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

12467528304 is a wasteful number, since it uses less digits than its factorization.

12467528304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 12467528304 in words is "twelve billion, four hundred sixty-seven million, five hundred twenty-eight thousand, three hundred four".