12265452000000 has 756 divisors, whose sum is σ = 45473228091480. Its totient is φ = 3261081600000.

The previous prime is 12265451999929. The next prime is 12265452000019. The reversal of 12265452000000 is 25456221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12265452000000 is a `hidden beast` number, since 1 + 2 + 2 + 654 + 5 + 2 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 36395999832 + ... + 36396000168.

Almost surely, 2^{12265452000000} is an apocalyptic number.

12265452000000 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 12265452000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22736614045740).

12265452000000 is an abundant number, since it is smaller than the sum of its proper divisors (33207776091480).

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

12265452000000 is an frugal number, since it uses more digits than its factorization.

12265452000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Multiplying 12265452000000 by its sum of digits (27), we get a square (331167204000000 = 18198000²).

12265452000000 divided by its sum of digits (27) gives a square (454276000000 = 674000²).

12265452000000 divided by its product of nonzero digits (4800) gives a square (2555302500 = 50550²).

Adding to 12265452000000 its reverse (25456221), we get a palindrome (12265477456221).

The spelling of 12265452000000 in words is "twelve trillion, two hundred sixty-five billion, four hundred fifty-two million", and thus it is an aban number.