1204261344000 has 3024 divisors, whose sum is σ = 5576990668704. Its totient is φ = 255301632000.

The previous prime is 1204261343983. The next prime is 1204261344001. The reversal of 1204261344000 is 4431624021.

It is a happy number.

1204261344000 is a `hidden beast` number, since 1 + 2 + 0 + 4 + 2 + 613 + 4 + 40 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1204261344001) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 63382175991 + ... + 63382176009.

It is an arithmetic number, because the mean of its divisors is an integer number (1844242946).

Almost surely, 2^{1204261344000} is an apocalyptic number.

1204261344000 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 1204261344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788495334352).

1204261344000 is an abundant number, since it is smaller than the sum of its proper divisors (4372729324704).

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

1204261344000 is an equidigital number, since it uses as much as digits as its factorization.

1204261344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1204261344000 its reverse (4431624021), we get a palindrome (1208692968021).

The spelling of 1204261344000 in words is "one trillion, two hundred four billion, two hundred sixty-one million, three hundred forty-four thousand".