1321515312240 has 80 divisors (see below), whose sum is σ = 4096817036928. Its totient is φ = 352393797888.

The previous prime is 1321515312223. The next prime is 1321515312289. The reversal of 1321515312240 is 422135151231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1321515312198 and 1321515312207.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11829927 + ... + 11941113.

Almost surely, 2^{1321515312240} is an apocalyptic number.

1321515312240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321515312240 is an abundant number, since it is smaller than the sum of its proper divisors (2775301724688).

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

1321515312240 is a wasteful number, since it uses less digits than its factorization.

1321515312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160726 (or 160720 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 1321515312240 in words is "one trillion, three hundred twenty-one billion, five hundred fifteen million, three hundred twelve thousand, two hundred forty".