1123412334400 has 168 divisors, whose sum is σ = 2794184017920. Its totient is φ = 444514560000.

The previous prime is 1123412334379. The next prime is 1123412334409. The reversal of 1123412334400 is 44332143211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123412334409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 232539985 + ... + 232544815.

Almost surely, 2^{1123412334400} is an apocalyptic number.

1123412334400 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 1123412334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397092008960).

1123412334400 is an abundant number, since it is smaller than the sum of its proper divisors (1670771683520).

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

1123412334400 is a wasteful number, since it uses less digits than its factorization.

1123412334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6393 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1123412334400 its reverse (44332143211), we get a palindrome (1167744477611).

The spelling of 1123412334400 in words is "one trillion, one hundred twenty-three billion, four hundred twelve million, three hundred thirty-four thousand, four hundred".