1110121113312 has 72 divisors (see below), whose sum is σ = 3168556241760. Its totient is φ = 368674882560.

The previous prime is 1110121113307. The next prime is 1110121113317. The reversal of 1110121113312 is 2133111210111.

It is an interprime number because it is at equal distance from previous prime (1110121113307) and next prime (1110121113317).

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110121113317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7033737 + ... + 7189832.

It is an arithmetic number, because the mean of its divisors is an integer number (44007725580).

Almost surely, 2^{1110121113312} is an apocalyptic number.

1110121113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1110121113312 is an abundant number, since it is smaller than the sum of its proper divisors (2058435128448).

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

1110121113312 is a wasteful number, since it uses less digits than its factorization.

1110121113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14223856 (or 14223845 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 1110121113312 its reverse (2133111210111), we get a palindrome (3243232323423).

The spelling of 1110121113312 in words is "one trillion, one hundred ten billion, one hundred twenty-one million, one hundred thirteen thousand, three hundred twelve".