1200112000 has 128 divisors (see below), whose sum is σ = 3015960480. Its totient is φ = 474880000.

The previous prime is 1200111977. The next prime is 1200112003. The reversal of 1200112000 is 2110021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1200112003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1711650 + ... + 1712350.

Almost surely, 2^1200112000 is an apocalyptic number.

1200112000 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 1200112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507980240).

1200112000 is an abundant number, since it is smaller than the sum of its proper divisors (1815848480).

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

1200112000 is an equidigital number, since it uses as much as digits as its factorization.

1200112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1200112000 is about 34642.6326944128. The cubic root of 1200112000 is about 1062.6916286429.

Adding to 1200112000 its reverse (2110021), we get a palindrome (1202222021).

The spelling of 1200112000 in words is "one billion, two hundred million, one hundred twelve thousand".