1305145222300 has 72 divisors (see below), whose sum is σ = 2928357729360. Its totient is φ = 504564748800.

The previous prime is 1305145222291. The next prime is 1305145222349. The reversal of 1305145222300 is 32225415031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1048815 + ... + 1926214.

It is an arithmetic number, because the mean of its divisors is an integer number (40671635130).

Almost surely, 2^{1305145222300} is an apocalyptic number.

1305145222300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1305145222300 is an abundant number, since it is smaller than the sum of its proper divisors (1623212507060).

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

1305145222300 is a wasteful number, since it uses less digits than its factorization.

1305145222300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975191 (or 2975184 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 1305145222300 in words is "one trillion, three hundred five billion, one hundred forty-five million, two hundred twenty-two thousand, three hundred".