1200201012000 has 144 divisors (see below), whose sum is σ = 4259513519352. Its totient is φ = 320053593600.

The previous prime is 1200201011917. The next prime is 1200201012007. The reversal of 1200201012000 is 2101020021.

It can be written as a sum of positive squares in 4 ways, for example, as 43913717136 + 1156287294864 = 209556^2 + 1075308^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1200201012007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16633459 + ... + 16705458.

Almost surely, 2^{1200201012000} is an apocalyptic number.

1200201012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200201012000 is an abundant number, since it is smaller than the sum of its proper divisors (3059312507352).

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

1200201012000 is a wasteful number, since it uses less digits than its factorization.

1200201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33338948 (or 33338927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1200201012000 its reverse (2101020021), we get a palindrome (1202302032021).

The spelling of 1200201012000 in words is "one trillion, two hundred billion, two hundred one million, twelve thousand".