1200913168000 has 1536 divisors, whose sum is σ = 4022655436800. Its totient is φ = 352545177600.

The previous prime is 1200913167991. The next prime is 1200913168001. The reversal of 1200913168000 is 8613190021.

It is not an unprimeable number, because it can be changed into a prime (1200913168001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11017551946 + ... + 11017552054.

It is an arithmetic number, because the mean of its divisors is an integer number (2618916300).

Almost surely, 2^{1200913168000} is an apocalyptic number.

1200913168000 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 1200913168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011327718400).

1200913168000 is an abundant number, since it is smaller than the sum of its proper divisors (2821742268800).

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

1200913168000 is a wasteful number, since it uses less digits than its factorization.

1200913168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 1200913168000 in words is "one trillion, two hundred billion, nine hundred thirteen million, one hundred sixty-eight thousand".