1100012000120 has 64 divisors (see below), whose sum is σ = 2793133951200. Its totient is φ = 386211105280.

The previous prime is 1100012000119. The next prime is 1100012000209. The reversal of 1100012000120 is 210002100011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 1100012000098 and 1100012000107.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 43091159 + ... + 43116678.

Almost surely, 2^{1100012000120} is an apocalyptic number.

1100012000120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100012000120 is an abundant number, since it is smaller than the sum of its proper divisors (1693121951080).

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

1100012000120 is a wasteful number, since it uses less digits than its factorization.

1100012000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86207888 (or 86207884 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1100012000120 its reverse (210002100011), we get a palindrome (1310014100131).

The spelling of 1100012000120 in words is "one trillion, one hundred billion, twelve million, one hundred twenty", and thus it is an aban number.