1342205505312 has 384 divisors, whose sum is σ = 4156137216000. Its totient is φ = 379093478400.

The previous prime is 1342205505301. The next prime is 1342205505359. The reversal of 1342205505312 is 2135055022431.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1634841862 + ... + 1634842682.

It is an arithmetic number, because the mean of its divisors is an integer number (10823274000).

Almost surely, 2^{1342205505312} is an apocalyptic number.

1342205505312 is a gapful number since it is divisible by the number (12) 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 1342205505312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078068608000).

1342205505312 is an abundant number, since it is smaller than the sum of its proper divisors (2813931710688).

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

1342205505312 is a wasteful number, since it uses less digits than its factorization.

1342205505312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 1342205505312 in words is "one trillion, three hundred forty-two billion, two hundred five million, five hundred five thousand, three hundred twelve".