12238258960800 has 504 divisors, whose sum is σ = 45238210467660. Its totient is φ = 3231207936000.

The previous prime is 12238258960799. The next prime is 12238258960871. The reversal of 12238258960800 is 806985283221.

It is a happy number.

12238258960800 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 8 + 25 + 8 + 9 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 7356050537616 + 4882208423184 = 2712204^2 + 2209572^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 58799316 + ... + 59007084.

Almost surely, 2^{12238258960800} is an apocalyptic number.

12238258960800 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 12238258960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22619105233830).

12238258960800 is an abundant number, since it is smaller than the sum of its proper divisors (32999951506860).

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

12238258960800 is a wasteful number, since it uses less digits than its factorization.

12238258960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207908 (or 207880 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 12238258960800 in words is "twelve trillion, two hundred thirty-eight billion, two hundred fifty-eight million, nine hundred sixty thousand, eight hundred".