1205130000000 has 768 divisors, whose sum is σ = 4281199977600. Its totient is φ = 300288000000.

The previous prime is 1205129999987. The next prime is 1205130000047. The reversal of 1205130000000 is 315021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8669999931 + ... + 8670000069.

Almost surely, 2^{1205130000000} is an apocalyptic number.

1205130000000 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 1205130000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140599988800).

1205130000000 is an abundant number, since it is smaller than the sum of its proper divisors (3076069977600).

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

1205130000000 is an frugal number, since it uses more digits than its factorization.

1205130000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 1205130000000 its reverse (315021), we get a palindrome (1205130315021).

The spelling of 1205130000000 in words is "one trillion, two hundred five billion, one hundred thirty million", and thus it is an aban number.