1305423241200 has 180 divisors, whose sum is σ = 4878656921320. Its totient is φ = 321334940160.

The previous prime is 1305423241153. The next prime is 1305423241217. The reversal of 1305423241200 is 21423245031.

1305423241200 is a `hidden beast` number, since 1 + 30 + 5 + 423 + 2 + 4 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×1305423241200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13900030 + ... + 13993629.

Almost surely, 2^{1305423241200} is an apocalyptic number.

1305423241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305423241200 is an abundant number, since it is smaller than the sum of its proper divisors (3573233680120).

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

1305423241200 is a wasteful number, since it uses less digits than its factorization.

1305423241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27893696 (or 27893682 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1305423241200 its reverse (21423245031), we get a palindrome (1326846486231).

The spelling of 1305423241200 in words is "one trillion, three hundred five billion, four hundred twenty-three million, two hundred forty-one thousand, two hundred".