12467105280 has 720 divisors, whose sum is σ = 52214001840. Its totient is φ = 2842656768.

The previous prime is 12467105269. The next prime is 12467105309. The reversal of 12467105280 is 8250176421.

12467105280 is a `hidden beast` number, since 12 + 467 + 105 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30481716 + ... + 30482124.

It is an arithmetic number, because the mean of its divisors is an integer number (72519447).

Almost surely, 2^12467105280 is an apocalyptic number.

12467105280 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 12467105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26107000920).

12467105280 is an abundant number, since it is smaller than the sum of its proper divisors (39746896560).

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

12467105280 is an frugal number, since it uses more digits than its factorization.

12467105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 12467105280 in words is "twelve billion, four hundred sixty-seven million, one hundred five thousand, two hundred eighty".