12265381600 has 288 divisors, whose sum is σ = 32826336480. Its totient is φ = 4459069440.

The previous prime is 12265381591. The next prime is 12265381613. The reversal of 12265381600 is 618356221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63551104 + ... + 63551296.

It is an arithmetic number, because the mean of its divisors is an integer number (113980335).

Almost surely, 2^12265381600 is an apocalyptic number.

12265381600 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 12265381600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16413168240).

12265381600 is an abundant number, since it is smaller than the sum of its proper divisors (20560954880).

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

12265381600 is a wasteful number, since it uses less digits than its factorization.

12265381600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 12265381600 in words is "twelve billion, two hundred sixty-five million, three hundred eighty-one thousand, six hundred".