1315145200120 has 64 divisors (see below), whose sum is σ = 3149044620480. Its totient is φ = 492600170496.

The previous prime is 1315145200099. The next prime is 1315145200169. The reversal of 1315145200120 is 210025415131.

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, 4774764 + ... + 5042683.

It is an arithmetic number, because the mean of its divisors is an integer number (49203822195).

Almost surely, 2^{1315145200120} is an apocalyptic number.

1315145200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315145200120 is an abundant number, since it is smaller than the sum of its proper divisors (1833899420360).

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

1315145200120 is a wasteful number, since it uses less digits than its factorization.

1315145200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9817672 (or 9817668 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The spelling of 1315145200120 in words is "one trillion, three hundred fifteen billion, one hundred forty-five million, two hundred thousand, one hundred twenty".