11310123033312 has 192 divisors, whose sum is σ = 30806189568000. Its totient is φ = 3628988633088.

The previous prime is 11310123033203. The next prime is 11310123033343. The reversal of 11310123033312 is 21333032101311.

11310123033312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2142471889 + ... + 2142477167.

It is an arithmetic number, because the mean of its divisors is an integer number (160448904000).

Almost surely, 2^{11310123033312} is an apocalyptic number.

11310123033312 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 11310123033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403094784000).

11310123033312 is an abundant number, since it is smaller than the sum of its proper divisors (19496066534688).

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

11310123033312 is a wasteful number, since it uses less digits than its factorization.

11310123033312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7513 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 11310123033312 its reverse (21333032101311), we get a palindrome (32643155134623).

The spelling of 11310123033312 in words is "eleven trillion, three hundred ten billion, one hundred twenty-three million, thirty-three thousand, three hundred twelve".