1120121002112 has 192 divisors, whose sum is σ = 2681788896000. Its totient is φ = 464178677760.

The previous prime is 1120121002111. The next prime is 1120121002157. The reversal of 1120121002112 is 2112001210211.

It is a super-2 number, since 2×1120121002112² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (1120121002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 441164939 + ... + 441167477.

It is an arithmetic number, because the mean of its divisors is an integer number (13967650500).

Almost surely, 2^{1120121002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120121002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340894448000).

1120121002112 is an abundant number, since it is smaller than the sum of its proper divisors (1561667893888).

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

1120121002112 is a wasteful number, since it uses less digits than its factorization.

1120121002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4867 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1120121002112 its reverse (2112001210211), we get a palindrome (3232122212323).

The spelling of 1120121002112 in words is "one trillion, one hundred twenty billion, one hundred twenty-one million, two thousand, one hundred twelve".