1123101121312 has 48 divisors (see below), whose sum is σ = 2249383764600. Its totient is φ = 551845693440.

The previous prime is 1123101121273. The next prime is 1123101121319. The reversal of 1123101121312 is 2131211013211.

It can be written as a sum of positive squares in 4 ways, for example, as 74025349776 + 1049075771536 = 272076^2 + 1024244^2 .

It is a super-2 number, since 2×1123101121312² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1123101121312.

It is not an unprimeable number, because it can be changed into a prime (1123101121319) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1905364 + ... + 2424172.

Almost surely, 2^{1123101121312} 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 1123101121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124691882300).

1123101121312 is an abundant number, since it is smaller than the sum of its proper divisors (1126282643288).

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

1123101121312 is a wasteful number, since it uses less digits than its factorization.

1123101121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519989 (or 519981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 1123101121312 its reverse (2131211013211), we get a palindrome (3254312134523).

The spelling of 1123101121312 in words is "one trillion, one hundred twenty-three billion, one hundred one million, one hundred twenty-one thousand, three hundred twelve".