1165205217120 has 192 divisors, whose sum is σ = 4441488339456. Its totient is φ = 250665984000.

The previous prime is 1165205217109. The next prime is 1165205217151. The reversal of 1165205217120 is 217125025611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10142506 + ... + 10256745.

It is an arithmetic number, because the mean of its divisors is an integer number (23132751768).

Almost surely, 2^{1165205217120} is an apocalyptic number.

1165205217120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1165205217120 is an abundant number, since it is smaller than the sum of its proper divisors (3276283122336).

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

1165205217120 is a wasteful number, since it uses less digits than its factorization.

1165205217120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20399293 (or 20399285 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The spelling of 1165205217120 in words is "one trillion, one hundred sixty-five billion, two hundred five million, two hundred seventeen thousand, one hundred twenty".