12490307459280 has 960 divisors, whose sum is σ = 51104158410240. Its totient is φ = 2670472986624.

The previous prime is 12490307459183. The next prime is 12490307459369. The reversal of 12490307459280 is 8295470309421.

12490307459280 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 0 + 307 + 4 + 59 + 280 = 666.

It is a super-3 number, since 3×12490307459280³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2531987694 + ... + 2531992626.

It is an arithmetic number, because the mean of its divisors is an integer number (53233498344).

Almost surely, 2^{12490307459280} is an apocalyptic number.

12490307459280 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 12490307459280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25552079205120).

12490307459280 is an abundant number, since it is smaller than the sum of its proper divisors (38613850950960).

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

12490307459280 is a wasteful number, since it uses less digits than its factorization.

12490307459280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 12490307459280 in words is "twelve trillion, four hundred ninety billion, three hundred seven million, four hundred fifty-nine thousand, two hundred eighty".