1200000110112 has 72 divisors (see below), whose sum is σ = 3418067700684. Its totient is φ = 399347449344.

The previous prime is 1200000110081. The next prime is 1200000110173. The reversal of 1200000110112 is 2110110000021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 868541985936 + 331458124176 = 931956^2 + 575724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 1200000110094 and 1200000110103.

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 11 ways as a sum of consecutive naturals, for example, 3222043 + ... + 3575130.

Almost surely, 2^{1200000110112} is an apocalyptic number.

1200000110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1200000110112 is an abundant number, since it is smaller than the sum of its proper divisors (2218067590572).

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

1200000110112 is a wasteful number, since it uses less digits than its factorization.

1200000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6797802 (or 6797791 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1200000110112 its reverse (2110110000021), we get a palindrome (3310110110133).

The spelling of 1200000110112 in words is "one trillion, two hundred billion, one hundred ten thousand, one hundred twelve".