1200001101120 has 84 divisors (see below), whose sum is σ = 4127503797300. Its totient is φ = 320000292864.

The previous prime is 1200001101097. The next prime is 1200001101197. The reversal of 1200001101120 is 211011000021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 322197005376 + 877804095744 = 567624^2 + 936912^2 .

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 (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208330645 + ... + 208336404.

Almost surely, 2^{1200001101120} is an apocalyptic number.

1200001101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1200001101120 is an abundant number, since it is smaller than the sum of its proper divisors (2927502696180).

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

1200001101120 is a wasteful number, since it uses less digits than its factorization.

1200001101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416667072 (or 416667059 counting only the distinct ones).

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

Adding to 1200001101120 its reverse (211011000021), we get a palindrome (1411012101141).

The spelling of 1200001101120 in words is "one trillion, two hundred billion, one million, one hundred one thousand, one hundred twenty".