1201061712000 has 128 divisors (see below), whose sum is σ = 3981519734400. Its totient is φ = 320283110400.

The previous prime is 1201061711989. The next prime is 1201061712013. The reversal of 1201061712000 is 2171601021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 12463060 + ... + 12559059.

It is an arithmetic number, because the mean of its divisors is an integer number (31105622925).

Almost surely, 2^{1201061712000} is an apocalyptic number.

1201061712000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201061712000 is an abundant number, since it is smaller than the sum of its proper divisors (2780458022400).

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

1201061712000 is an equidigital number, since it uses as much as digits as its factorization.

1201061712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022151 (or 25022129 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The spelling of 1201061712000 in words is "one trillion, two hundred one billion, sixty-one million, seven hundred twelve thousand".