1213110002112 has 336 divisors, whose sum is σ = 3493990187520. Its totient is φ = 370212249600.

The previous prime is 1213110002089. The next prime is 1213110002129. The reversal of 1213110002112 is 2112000113121.

It is a junction number, because it is equal to n+sod(n) for n = 1213110002091 and 1213110002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4476420537 + ... + 4476420807.

It is an arithmetic number, because the mean of its divisors is an integer number (10398780320).

Almost surely, 2^{1213110002112} is an apocalyptic number.

1213110002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1213110002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746995093760).

1213110002112 is an abundant number, since it is smaller than the sum of its proper divisors (2280880185408).

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

1213110002112 is a wasteful number, since it uses less digits than its factorization.

1213110002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1213110002112 its reverse (2112000113121), we get a palindrome (3325110115233).

The spelling of 1213110002112 in words is "one trillion, two hundred thirteen billion, one hundred ten million, two thousand, one hundred twelve".