12265005446400 has 1296 divisors, whose sum is σ = 48554201957184. Its totient is φ = 2717018357760.

The previous prime is 12265005446371. The next prime is 12265005446401. The reversal of 12265005446400 is 464450056221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12265005446401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5542251694 + ... + 5542253906.

It is an arithmetic number, because the mean of its divisors is an integer number (37464662004).

Almost surely, 2^{12265005446400} is an apocalyptic number.

12265005446400 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 12265005446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24277100978592).

12265005446400 is an abundant number, since it is smaller than the sum of its proper divisors (36289196510784).

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

12265005446400 is a wasteful number, since it uses less digits than its factorization.

12265005446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 12265005446400 in words is "twelve trillion, two hundred sixty-five billion, five million, four hundred forty-six thousand, four hundred".