11310423120000 has 1280 divisors, whose sum is σ = 42501270240000. Its totient is φ = 2959810560000.

The previous prime is 11310423119971. The next prime is 11310423120001. The reversal of 11310423120000 is 2132401311.

11310423120000 is a `hidden beast` number, since 1 + 1 + 310 + 42 + 312 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×11310423120000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11310423120001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36367919845 + ... + 36367920155.

It is an arithmetic number, because the mean of its divisors is an integer number (33204117375).

Almost surely, 2^{11310423120000} is an apocalyptic number.

11310423120000 is a gapful number since it is divisible by the number (10) 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 11310423120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250635120000).

11310423120000 is an abundant number, since it is smaller than the sum of its proper divisors (31190847120000).

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

11310423120000 is a wasteful number, since it uses less digits than its factorization.

11310423120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11310423120000 its reverse (2132401311), we get a palindrome (11312555521311).

The spelling of 11310423120000 in words is "eleven trillion, three hundred ten billion, four hundred twenty-three million, one hundred twenty thousand".