12258432989280 has 480 divisors, whose sum is σ = 46192897707264. Its totient is φ = 3054069494784.

The previous prime is 12258432989227. The next prime is 12258432989291. The reversal of 12258432989280 is 8298923485221.

12258432989280 is a `hidden beast` number, since 1 + 2 + 2 + 584 + 3 + 29 + 8 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

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, 12339247 + ... + 13295633.

Almost surely, 2^{12258432989280} is an apocalyptic number.

12258432989280 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 12258432989280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23096448853632).

12258432989280 is an abundant number, since it is smaller than the sum of its proper divisors (33934464717984).

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

12258432989280 is a wasteful number, since it uses less digits than its factorization.

12258432989280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956480 (or 956463 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 12258432989280 in words is "twelve trillion, two hundred fifty-eight billion, four hundred thirty-two million, nine hundred eighty-nine thousand, two hundred eighty".