1305111442000 has 160 divisors (see below), whose sum is σ = 3203830656000. Its totient is φ = 514126080000.

The previous prime is 1305111441979. The next prime is 1305111442057. The reversal of 1305111442000 is 2441115031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63347701 + ... + 63368299.

It is an arithmetic number, because the mean of its divisors is an integer number (20023941600).

Almost surely, 2^{1305111442000} is an apocalyptic number.

1305111442000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1305111442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601915328000).

1305111442000 is an abundant number, since it is smaller than the sum of its proper divisors (1898719214000).

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

1305111442000 is a wasteful number, since it uses less digits than its factorization.

1305111442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21102 (or 21086 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

Adding to 1305111442000 its reverse (2441115031), we get a palindrome (1307552557031).

The spelling of 1305111442000 in words is "one trillion, three hundred five billion, one hundred eleven million, four hundred forty-two thousand".