1204170515200 has 216 divisors, whose sum is σ = 3060767098368. Its totient is φ = 468842250240.

The previous prime is 1204170515159. The next prime is 1204170515213. The reversal of 1204170515200 is 25150714021.

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 23 ways as a sum of consecutive naturals, for example, 43064424 + ... + 43092376.

It is an arithmetic number, because the mean of its divisors is an integer number (14170218048).

Almost surely, 2^{1204170515200} is an apocalyptic number.

1204170515200 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 1204170515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530383549184).

1204170515200 is an abundant number, since it is smaller than the sum of its proper divisors (1856596583168).

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

1204170515200 is a wasteful number, since it uses less digits than its factorization.

1204170515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28159 (or 28140 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 28.

The spelling of 1204170515200 in words is "one trillion, two hundred four billion, one hundred seventy million, five hundred fifteen thousand, two hundred".