1201308288000 has 352 divisors, whose sum is σ = 4206343290240. Its totient is φ = 303486566400.

The previous prime is 1201308287983. The next prime is 1201308288071. The reversal of 1201308288000 is 8828031021.

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 31 ways as a sum of consecutive naturals, for example, 7213674 + ... + 7378326.

Almost surely, 2^{1201308288000} is an apocalyptic number.

1201308288000 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 1201308288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103171645120).

1201308288000 is an abundant number, since it is smaller than the sum of its proper divisors (3005035002240).

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

1201308288000 is a wasteful number, since it uses less digits than its factorization.

1201308288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164710 (or 164682 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The spelling of 1201308288000 in words is "one trillion, two hundred one billion, three hundred eight million, two hundred eighty-eight thousand".