1100121000012 has 72 divisors (see below), whose sum is σ = 2866258860192. Its totient is φ = 355615142400.

The previous prime is 1100121000001. The next prime is 1100121000019. The reversal of 1100121000012 is 2100001210011.

It is a happy number.

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 = 1100120999958 and 1100121000003.

It is not an unprimeable number, because it can be changed into a prime (1100121000019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3372013 + ... + 3683844.

It is an arithmetic number, because the mean of its divisors is an integer number (39809150836).

Almost surely, 2^{1100121000012} is an apocalyptic number.

1100121000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100121000012 is an abundant number, since it is smaller than the sum of its proper divisors (1766137860180).

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

1100121000012 is a wasteful number, since it uses less digits than its factorization.

1100121000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055999 (or 7055994 counting only the distinct ones).

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

Adding to 1100121000012 its reverse (2100001210011), we get a palindrome (3200122210023).

The spelling of 1100121000012 in words is "one trillion, one hundred billion, one hundred twenty-one million, twelve", and thus it is an aban number.