11121045134400 has 504 divisors, whose sum is σ = 39807189676800. Its totient is φ = 2944650240000.

The previous prime is 11121045134393. The next prime is 11121045134413. The reversal of 11121045134400 is 443154012111.

It is a happy number.

11121045134400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 104 + 513 + 4 + 40 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1235529900 + ... + 1235538900.

It is an arithmetic number, because the mean of its divisors is an integer number (78982519200).

Almost surely, 2^{11121045134400} is an apocalyptic number.

11121045134400 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 11121045134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19903594838400).

11121045134400 is an abundant number, since it is smaller than the sum of its proper divisors (28686144542400).

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

11121045134400 is a wasteful number, since it uses less digits than its factorization.

11121045134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9627 (or 9609 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 11121045134400 its reverse (443154012111), we get a palindrome (11564199146511).

The spelling of 11121045134400 in words is "eleven trillion, one hundred twenty-one billion, forty-five million, one hundred thirty-four thousand, four hundred".