12249760265600 has 768 divisors, whose sum is σ = 37124986348800. Its totient is φ = 3932462284800.

The previous prime is 12249760265597. The next prime is 12249760265609. The reversal of 12249760265600 is 656206794221.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12249760265609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419928487 + ... + 1419937113.

It is an arithmetic number, because the mean of its divisors is an integer number (48339825975).

Almost surely, 2^{12249760265600} is an apocalyptic number.

12249760265600 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 12249760265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562493174400).

12249760265600 is an abundant number, since it is smaller than the sum of its proper divisors (24875226083200).

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

12249760265600 is a wasteful number, since it uses less digits than its factorization.

12249760265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 12249760265600 in words is "twelve trillion, two hundred forty-nine billion, seven hundred sixty million, two hundred sixty-five thousand, six hundred".