1305941123136 has 112 divisors (see below), whose sum is σ = 3882881971584. Its totient is φ = 384357236736.

The previous prime is 1305941123111. The next prime is 1305941123141. The reversal of 1305941123136 is 6313211495031.

It is a happy number.

It is a super-2 number, since 2×1305941123136² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1305941123094 and 1305941123103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11316801 + ... + 11431616.

It is an arithmetic number, because the mean of its divisors is an integer number (34668589032).

Almost surely, 2^{1305941123136} is an apocalyptic number.

1305941123136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1305941123136 is an abundant number, since it is smaller than the sum of its proper divisors (2576940848448).

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

1305941123136 is a wasteful number, since it uses less digits than its factorization.

1305941123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22748468 (or 22748458 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 1305941123136 in words is "one trillion, three hundred five billion, nine hundred forty-one million, one hundred twenty-three thousand, one hundred thirty-six".