11123434350312 has 128 divisors (see below), whose sum is σ = 28416255648000. Its totient is φ = 3627473725440.

The previous prime is 11123434350293. The next prime is 11123434350313. The reversal of 11123434350312 is 21305343432111.

It is not an unprimeable number, because it can be changed into a prime (11123434350313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346303389 + ... + 346335507.

It is an arithmetic number, because the mean of its divisors is an integer number (222001997250).

Almost surely, 2^{11123434350312} is an apocalyptic number.

11123434350312 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 11123434350312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14208127824000).

11123434350312 is an abundant number, since it is smaller than the sum of its proper divisors (17292821297688).

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

11123434350312 is a wasteful number, since it uses less digits than its factorization.

11123434350312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33451 (or 33447 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

Adding to 11123434350312 its reverse (21305343432111), we get a palindrome (32428777782423).

The spelling of 11123434350312 in words is "eleven trillion, one hundred twenty-three billion, four hundred thirty-four million, three hundred fifty thousand, three hundred twelve".