1311264362124 has 288 divisors, whose sum is σ = 3766305816000. Its totient is φ = 382166138880.

The previous prime is 1311264362119. The next prime is 1311264362131. The reversal of 1311264362124 is 4212634621131.

1311264362124 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 6 + 4 + 3 + 621 + 24 = 666.

It is a super-4 number, since 4×1311264362124⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247545844 + ... + 247551140.

It is an arithmetic number, because the mean of its divisors is an integer number (13077450750).

Almost surely, 2^{1311264362124} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311264362124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1883152908000).

1311264362124 is an abundant number, since it is smaller than the sum of its proper divisors (2455041453876).

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

1311264362124 is a wasteful number, since it uses less digits than its factorization.

1311264362124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753 (or 5748 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

Adding to 1311264362124 its reverse (4212634621131), we get a palindrome (5523898983255).

The spelling of 1311264362124 in words is "one trillion, three hundred eleven billion, two hundred sixty-four million, three hundred sixty-two thousand, one hundred twenty-four".