1311122622240 has 240 divisors, whose sum is σ = 4634821078272. Its totient is φ = 349054603776.

The previous prime is 1311122622233. The next prime is 1311122622281. The reversal of 1311122622240 is 422262211131.

1311122622240 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 12 + 2 + 622 + 24 + 0 = 666.

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 (27).

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 39 ways as a sum of consecutive naturals, for example, 7783387 + ... + 7950053.

Almost surely, 2^{1311122622240} is an apocalyptic number.

1311122622240 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 1311122622240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317410539136).

1311122622240 is an abundant number, since it is smaller than the sum of its proper divisors (3323698456032).

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

1311122622240 is a wasteful number, since it uses less digits than its factorization.

1311122622240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167301 (or 167284 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 1311122622240 its reverse (422262211131), we get a palindrome (1733384833371).

The spelling of 1311122622240 in words is "one trillion, three hundred eleven billion, one hundred twenty-two million, six hundred twenty-two thousand, two hundred forty".