12612402055200 has 576 divisors, whose sum is σ = 42854057164800. Its totient is φ = 3218434560000.

The previous prime is 12612402055129. The next prime is 12612402055207. The reversal of 12612402055200 is 255020421621.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12612402055207) 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, 2472532650 + ... + 2472537750.

It is an arithmetic number, because the mean of its divisors is an integer number (74399404800).

Almost surely, 2^{12612402055200} is an apocalyptic number.

12612402055200 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 12612402055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21427028582400).

12612402055200 is an abundant number, since it is smaller than the sum of its proper divisors (30241655109600).

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

12612402055200 is a wasteful number, since it uses less digits than its factorization.

12612402055200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5521 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 12612402055200 its reverse (255020421621), we get a palindrome (12867422476821).

The spelling of 12612402055200 in words is "twelve trillion, six hundred twelve billion, four hundred two million, fifty-five thousand, two hundred".