1204113144320 has 160 divisors (see below), whose sum is σ = 3087153208656. Its totient is φ = 448823296000.

The previous prime is 1204113144317. The next prime is 1204113144359. The reversal of 1204113144320 is 234413114021.

It can be written as a sum of positive squares in 8 ways, for example, as 1187263027456 + 16850116864 = 1089616^2 + 129808^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1204113144320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4258550 + ... + 4532490.

Almost surely, 2^{1204113144320} is an apocalyptic number.

1204113144320 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 1204113144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543576604328).

1204113144320 is an abundant number, since it is smaller than the sum of its proper divisors (1883040064336).

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

1204113144320 is a wasteful number, since it uses less digits than its factorization.

1204113144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274082 (or 274066 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 1204113144320 its reverse (234413114021), we get a palindrome (1438526258341).

The spelling of 1204113144320 in words is "one trillion, two hundred four billion, one hundred thirteen million, one hundred forty-four thousand, three hundred twenty".