1311211134240 has 384 divisors, whose sum is σ = 5037410746368. Its totient is φ = 279853056000.

The previous prime is 1311211134239. The next prime is 1311211134263. The reversal of 1311211134240 is 424311121131.

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 1311211134240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7163865 + ... + 7344615.

It is an arithmetic number, because the mean of its divisors is an integer number (13118257152).

Almost surely, 2^{1311211134240} is an apocalyptic number.

1311211134240 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 1311211134240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518705373184).

1311211134240 is an abundant number, since it is smaller than the sum of its proper divisors (3726199612128).

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

1311211134240 is a wasteful number, since it uses less digits than its factorization.

1311211134240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180920 (or 180912 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 1311211134240 its reverse (424311121131), we get a palindrome (1735522255371).

The spelling of 1311211134240 in words is "one trillion, three hundred eleven billion, two hundred eleven million, one hundred thirty-four thousand, two hundred forty".