12258977280 has 480 divisors, whose sum is σ = 44469368064. Its totient is φ = 2856960000.

The previous prime is 12258977261. The next prime is 12258977323. The reversal of 12258977280 is 8277985221.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 81185205 + ... + 81185355.

Almost surely, 2^12258977280 is an apocalyptic number.

12258977280 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 12258977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22234684032).

12258977280 is an abundant number, since it is smaller than the sum of its proper divisors (32210390784).

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

12258977280 is a wasteful number, since it uses less digits than its factorization.

12258977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 51.

The spelling of 12258977280 in words is "twelve billion, two hundred fifty-eight million, nine hundred seventy-seven thousand, two hundred eighty".