1305157091112 has 192 divisors, whose sum is σ = 4393012216320. Its totient is φ = 341480945664.

The previous prime is 1305157091099. The next prime is 1305157091131. The reversal of 1305157091112 is 2111907515031.

1305157091112 is a `hidden beast` number, since 1 + 30 + 51 + 570 + 9 + 1 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1741488 + ... + 2375519.

It is an arithmetic number, because the mean of its divisors is an integer number (22880271960).

Almost surely, 2^{1305157091112} is an apocalyptic number.

1305157091112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1305157091112 is an abundant number, since it is smaller than the sum of its proper divisors (3087855125208).

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

1305157091112 is a wasteful number, since it uses less digits than its factorization.

1305157091112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117080 (or 4117073 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 36.

The spelling of 1305157091112 in words is "one trillion, three hundred five billion, one hundred fifty-seven million, ninety-one thousand, one hundred twelve".