11105512125120 has 336 divisors, whose sum is σ = 44670480940800. Its totient is φ = 2479369955328.

The previous prime is 11105512125119. The next prime is 11105512125121. The reversal of 11105512125120 is 2152121550111.

11105512125120 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 5 + 512 + 1 + 25 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (11105512125119) and next prime (11105512125121).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×11105512125120³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (11105512125121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5538570 + ... + 7272329.

Almost surely, 2^{11105512125120} is an apocalyptic number.

11105512125120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11105512125120 is an abundant number, since it is smaller than the sum of its proper divisors (33564968815680).

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

11105512125120 is a wasteful number, since it uses less digits than its factorization.

11105512125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12810972 (or 12810959 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 27.

Adding to 11105512125120 its reverse (2152121550111), we get a palindrome (13257633675231).

The spelling of 11105512125120 in words is "eleven trillion, one hundred five billion, five hundred twelve million, one hundred twenty-five thousand, one hundred twenty".