12618590208000 has 960 divisors, whose sum is σ = 48287363744256. Its totient is φ = 2866544640000.

The previous prime is 12618590207989. The next prime is 12618590208017. The reversal of 12618590208000 is 80209581621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7784447190 + ... + 7784448810.

Almost surely, 2^{12618590208000} is an apocalyptic number.

12618590208000 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 12618590208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24143681872128).

12618590208000 is an abundant number, since it is smaller than the sum of its proper divisors (35668773536256).

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

12618590208000 is an equidigital number, since it uses as much as digits as its factorization.

12618590208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

Adding to 12618590208000 its reverse (80209581621), we get a palindrome (12698799789621).

The spelling of 12618590208000 in words is "twelve trillion, six hundred eighteen billion, five hundred ninety million, two hundred eight thousand".