1317825012000 has 288 divisors, whose sum is σ = 5022045100800. Its totient is φ = 301217011200.

The previous prime is 1317825011999. The next prime is 1317825012013. The reversal of 1317825012000 is 2105287131.

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

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 47 ways as a sum of consecutive naturals, for example, 532600 + ... + 1708599.

It is an arithmetic number, because the mean of its divisors is an integer number (17437656600).

Almost surely, 2^{1317825012000} is an apocalyptic number.

1317825012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1317825012000 is an abundant number, since it is smaller than the sum of its proper divisors (3704220088800).

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

1317825012000 is a wasteful number, since it uses less digits than its factorization.

1317825012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241241 (or 2241216 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 1317825012000 in words is "one trillion, three hundred seventeen billion, eight hundred twenty-five million, twelve thousand".