1123755609900 has 576 divisors, whose sum is σ = 4272446545920. Its totient is φ = 220937932800.

The previous prime is 1123755609883. The next prime is 1123755609931. The reversal of 1123755609900 is 99065573211.

It is a self number, because there is not a number n which added to its sum of digits gives 1123755609900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 599975364 + ... + 599977236.

It is an arithmetic number, because the mean of its divisors is an integer number (7417441920).

Almost surely, 2^{1123755609900} is an apocalyptic number.

1123755609900 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 1123755609900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2136223272960).

1123755609900 is an abundant number, since it is smaller than the sum of its proper divisors (3148690936020).

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

1123755609900 is a wasteful number, since it uses less digits than its factorization.

1123755609900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3294 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 48.

It can be divided in two parts, 112375 and 5609900, that added together give a palindrome (5722275).

The spelling of 1123755609900 in words is "one trillion, one hundred twenty-three billion, seven hundred fifty-five million, six hundred nine thousand, nine hundred".