11105000120400 has 480 divisors, whose sum is σ = 38345956201728. Its totient is φ = 2737097932800.

The previous prime is 11105000120387. The next prime is 11105000120453. The reversal of 11105000120400 is 402100050111.

It is a happy number.

It is a super-4 number, since 4×11105000120400⁴ (a number of 53 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11105000120400.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 372223884 + ... + 372253716.

Almost surely, 2^{11105000120400} is an apocalyptic number.

11105000120400 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 11105000120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19172978100864).

11105000120400 is an abundant number, since it is smaller than the sum of its proper divisors (27240956081328).

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

11105000120400 is a wasteful number, since it uses less digits than its factorization.

11105000120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30199 (or 30188 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11105000120400 its reverse (402100050111), we get a palindrome (11507100170511).

The spelling of 11105000120400 in words is "eleven trillion, one hundred five billion, one hundred twenty thousand, four hundred".