1205444240000 has 640 divisors, whose sum is σ = 4029418673280. Its totient is φ = 346798080000.

The previous prime is 1205444239973. The next prime is 1205444240003. The reversal of 1205444240000 is 424445021.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (1205444240003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80072474 + ... + 80087526.

It is an arithmetic number, because the mean of its divisors is an integer number (6295966677).

Almost surely, 2^{1205444240000} is an apocalyptic number.

1205444240000 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 1205444240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014709336640).

1205444240000 is an abundant number, since it is smaller than the sum of its proper divisors (2823974433280).

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

1205444240000 is a wasteful number, since it uses less digits than its factorization.

1205444240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15118 (or 15091 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

Adding to 1205444240000 its reverse (424445021), we get a palindrome (1205868685021).

The spelling of 1205444240000 in words is "one trillion, two hundred five billion, four hundred forty-four million, two hundred forty thousand".