1205200000000 has 396 divisors, whose sum is σ = 3166451503776. Its totient is φ = 457600000000.

The previous prime is 1205199999947. The next prime is 1205200000013. The reversal of 1205200000000 is 25021.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9199999935 + ... + 9200000065.

It is an arithmetic number, because the mean of its divisors is an integer number (7996089656).

Almost surely, 2^{1205200000000} is an apocalyptic number.

1205200000000 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 1205200000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583225751888).

1205200000000 is an abundant number, since it is smaller than the sum of its proper divisors (1961251503776).

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

1205200000000 is an frugal number, since it uses more digits than its factorization.

1205200000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

Adding to 1205200000000 its reverse (25021), we get a palindrome (1205200025021).

The spelling of 1205200000000 in words is "one trillion, two hundred five billion, two hundred million", and thus it is an aban number.