11123920900 has 81 divisors (see below), whose sum is σ = 24727207071. Its totient is φ = 4343676480.

The previous prime is 11123920897. The next prime is 11123920921. The reversal of 11123920900 is 902932111.

The square root of 11123920900 is 105470.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 83795716 + 11040125184 = 9154^2 + 105072^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55899001 + ... + 55899199.

Almost surely, 2^11123920900 is an apocalyptic number.

11123920900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11123920900 is the 105470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11123920900

11123920900 is an abundant number, since it is smaller than the sum of its proper divisors (13603286171).

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

11123920900 is an equidigital number, since it uses as much as digits as its factorization.

11123920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 11123920900 in words is "eleven billion, one hundred twenty-three million, nine hundred twenty thousand, nine hundred".