12467220480 has 936 divisors, whose sum is σ = 52343635344. Its totient is φ = 2724986880.

The previous prime is 12467220463. The next prime is 12467220497. The reversal of 12467220480 is 8402276421.

It is an interprime number because it is at equal distance from previous prime (12467220463) and next prime (12467220497).

It is a tau number, because it is divible by the number of its divisors (936).

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 71 ways as a sum of consecutive naturals, for example, 289935339 + ... + 289935381.

Almost surely, 2^12467220480 is an apocalyptic number.

12467220480 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 12467220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26171817672).

12467220480 is an abundant number, since it is smaller than the sum of its proper divisors (39876414864).

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

12467220480 is a wasteful number, since it uses less digits than its factorization.

12467220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 12467220480 in words is "twelve billion, four hundred sixty-seven million, two hundred twenty thousand, four hundred eighty".