12467151360 has 240 divisors, whose sum is σ = 43296543576. Its totient is φ = 3315400704.

The previous prime is 12467151341. The next prime is 12467151371. The reversal of 12467151360 is 6315176421.

12467151360 is a `hidden beast` number, since 1 + 24 + 67 + 1 + 513 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8698173696 + 3768977664 = 93264^2 + 61392^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14215242 + ... + 14216118.

Almost surely, 2^12467151360 is an apocalyptic number.

12467151360 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 12467151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21648271788).

12467151360 is an abundant number, since it is smaller than the sum of its proper divisors (30829392216).

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

12467151360 is an equidigital number, since it uses as much as digits as its factorization.

12467151360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 12467151360 in words is "twelve billion, four hundred sixty-seven million, one hundred fifty-one thousand, three hundred sixty".