11121003044400 has 240 divisors, whose sum is σ = 37010896284960. Its totient is φ = 2851047628800.

The previous prime is 11121003044381. The next prime is 11121003044447. The reversal of 11121003044400 is 444030012111.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7422630 + ... + 8794170.

It is an arithmetic number, because the mean of its divisors is an integer number (154212067854).

Almost surely, 2^{11121003044400} is an apocalyptic number.

11121003044400 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 11121003044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18505448142480).

11121003044400 is an abundant number, since it is smaller than the sum of its proper divisors (25889893240560).

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

11121003044400 is a wasteful number, since it uses less digits than its factorization.

11121003044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371824 (or 1371813 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11121003044400 its reverse (444030012111), we get a palindrome (11565033056511).

The spelling of 11121003044400 in words is "eleven trillion, one hundred twenty-one billion, three million, forty-four thousand, four hundred".