1321245813888 has 1024 divisors, whose sum is σ = 5252663808000. Its totient is φ = 315757854720.

The previous prime is 1321245813871. The next prime is 1321245813893. The reversal of 1321245813888 is 8883185421231.

It is a happy number.

1321245813888 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 24 + 581 + 38 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2134484043 + ... + 2134484661.

It is an arithmetic number, because the mean of its divisors is an integer number (5129554500).

Almost surely, 2^{1321245813888} is an apocalyptic number.

1321245813888 is a gapful number since it is divisible by the number (18) 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 1321245813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626331904000).

1321245813888 is an abundant number, since it is smaller than the sum of its proper divisors (3931417994112).

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

1321245813888 is a wasteful number, since it uses less digits than its factorization.

1321245813888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1272 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 1321245813888 in words is "one trillion, three hundred twenty-one billion, two hundred forty-five million, eight hundred thirteen thousand, eight hundred eighty-eight".