12254348580480 has 640 divisors, whose sum is σ = 45216921340800. Its totient is φ = 3160961556480.

The previous prime is 12254348580473. The next prime is 12254348580559. The reversal of 12254348580480 is 8408584345221.

12254348580480 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 4 + 3 + 4 + 85 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 195042511 + ... + 195105329.

It is an arithmetic number, because the mean of its divisors is an integer number (70651439595).

Almost surely, 2^{12254348580480} is an apocalyptic number.

12254348580480 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 12254348580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22608460670400).

12254348580480 is an abundant number, since it is smaller than the sum of its proper divisors (32962572760320).

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

12254348580480 is an equidigital number, since it uses as much as digits as its factorization.

12254348580480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62974 (or 62953 counting only the distinct ones).

The product of its (nonzero) digits is 9830400, while the sum is 54.

The spelling of 12254348580480 in words is "twelve trillion, two hundred fifty-four billion, three hundred forty-eight million, five hundred eighty thousand, four hundred eighty".