1311222240240 has 240 divisors, whose sum is σ = 4518118634400. Its totient is φ = 314299842560.

The previous prime is 1311222240217. The next prime is 1311222240247. The reversal of 1311222240240 is 420422221131.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1311222240240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311222240247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2330896 + ... + 2838224.

It is an arithmetic number, because the mean of its divisors is an integer number (18825494310).

Almost surely, 2^{1311222240240} is an apocalyptic number.

1311222240240 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 1311222240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259059317200).

1311222240240 is an abundant number, since it is smaller than the sum of its proper divisors (3206896394160).

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

1311222240240 is a wasteful number, since it uses less digits than its factorization.

1311222240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507456 (or 507439 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1311222240240 its reverse (420422221131), we get a palindrome (1731644461371).

The spelling of 1311222240240 in words is "one trillion, three hundred eleven billion, two hundred twenty-two million, two hundred forty thousand, two hundred forty".