12267348480 has 320 divisors, whose sum is σ = 45872956800. Its totient is φ = 3098787840.

The previous prime is 12267348479. The next prime is 12267348481. The reversal of 12267348480 is 8484376221.

It is a happy number.

12267348480 is a `hidden beast` number, since 1 + 2 + 26 + 73 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (12267348479) and next prime (12267348481).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12267348481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1308610 + ... + 1317950.

It is an arithmetic number, because the mean of its divisors is an integer number (143352990).

Almost surely, 2^12267348480 is an apocalyptic number.

12267348480 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 12267348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22936478400).

12267348480 is an abundant number, since it is smaller than the sum of its proper divisors (33605608320).

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

12267348480 is an equidigital number, since it uses as much as digits as its factorization.

12267348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9392 (or 9370 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12267348480 in words is "twelve billion, two hundred sixty-seven million, three hundred forty-eight thousand, four hundred eighty".