1200971096064 has 1344 divisors, whose sum is σ = 4195515916800. Its totient is φ = 328187510784.

The previous prime is 1200971096041. The next prime is 1200971096077. The reversal of 1200971096064 is 4606901790021.

1200971096064 is a `hidden beast` number, since 1 + 20 + 0 + 9 + 7 + 10 + 9 + 606 + 4 = 666.

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, 25552576489 + ... + 25552576535.

Almost surely, 2^{1200971096064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1200971096064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097757958400).

1200971096064 is an abundant number, since it is smaller than the sum of its proper divisors (2994544820736).

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

1200971096064 is a wasteful number, since it uses less digits than its factorization.

1200971096064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1200971096064 in words is "one trillion, two hundred billion, nine hundred seventy-one million, ninety-six thousand, sixty-four".