1121204434400 has 144 divisors (see below), whose sum is σ = 2747739008448. Its totient is φ = 446748672000.

The previous prime is 1121204434373. The next prime is 1121204434403. The reversal of 1121204434400 is 44344021211.

It is a self number, because there is not a number n which added to its sum of digits gives 1121204434400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121204434403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262390664 + ... + 262394936.

It is an arithmetic number, because the mean of its divisors is an integer number (19081520892).

Almost surely, 2^{1121204434400} is an apocalyptic number.

1121204434400 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 1121204434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373869504224).

1121204434400 is an abundant number, since it is smaller than the sum of its proper divisors (1626534574048).

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

1121204434400 is a wasteful number, since it uses less digits than its factorization.

1121204434400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5485 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1121204434400 its reverse (44344021211), we get a palindrome (1165548455611).

The spelling of 1121204434400 in words is "one trillion, one hundred twenty-one billion, two hundred four million, four hundred thirty-four thousand, four hundred".