1205311420240 has 40 divisors (see below), whose sum is σ = 2803354357320. Its totient is φ = 481951612416.

The previous prime is 1205311420223. The next prime is 1205311420241. The reversal of 1205311420240 is 420241135021.

It can be written as a sum of positive squares in 4 ways, for example, as 40923671616 + 1164387748624 = 202296^2 + 1079068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205311420241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2477919 + ... + 2924158.

It is an arithmetic number, because the mean of its divisors is an integer number (70083858933).

Almost surely, 2^{1205311420240} is an apocalyptic number.

1205311420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1205311420240 is an abundant number, since it is smaller than the sum of its proper divisors (1598042937080).

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

1205311420240 is a wasteful number, since it uses less digits than its factorization.

1205311420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5404879 (or 5404873 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1205311420240 its reverse (420241135021), we get a palindrome (1625552555261).

The spelling of 1205311420240 in words is "one trillion, two hundred five billion, three hundred eleven million, four hundred twenty thousand, two hundred forty".