1200112002000 has 120 divisors (see below), whose sum is σ = 4191591248520. Its totient is φ = 320029862400.

The previous prime is 1200112001969. The next prime is 1200112002029. The reversal of 1200112002000 is 2002110021.

It can be written as a sum of positive squares in 4 ways, for example, as 43592428944 + 1156519573056 = 208788^2 + 1075416^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33318445 + ... + 33354444.

It is an arithmetic number, because the mean of its divisors is an integer number (34929927071).

Almost surely, 2^{1200112002000} is an apocalyptic number.

1200112002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200112002000 is an abundant number, since it is smaller than the sum of its proper divisors (2991479246520).

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

1200112002000 is a wasteful number, since it uses less digits than its factorization.

1200112002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66672918 (or 66672899 counting only the distinct ones).

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

Adding to 1200112002000 its reverse (2002110021), we get a palindrome (1202114112021).

The spelling of 1200112002000 in words is "one trillion, two hundred billion, one hundred twelve million, two thousand".