1352205200000 has 192 divisors, whose sum is σ = 3374856417240. Its totient is φ = 539635200000.

The previous prime is 1352205199991. The next prime is 1352205200077. The reversal of 1352205200000 is 25022531.

It can be written as a sum of positive squares in 12 ways, for example, as 1166002593856 + 186202606144 = 1079816^2 + 431512^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 184396334 + ... + 184403666.

Almost surely, 2^{1352205200000} is an apocalyptic number.

1352205200000 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 1352205200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428208620).

1352205200000 is an abundant number, since it is smaller than the sum of its proper divisors (2022651217240).

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

1352205200000 is an frugal number, since it uses more digits than its factorization.

1352205200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7833 (or 7801 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The spelling of 1352205200000 in words is "one trillion, three hundred fifty-two billion, two hundred five million, two hundred thousand".