11830912900 has 81 divisors (see below), whose sum is σ = 26205452301. Its totient is φ = 4636212480.

The previous prime is 11830912871. The next prime is 11830912903. The reversal of 11830912900 is 921903811.

The square root of 11830912900 is 108770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10956646276 + 874266624 = 104674^2 + 29568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11830912903) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 79402026 + ... + 79402174.

Almost surely, 2^11830912900 is an apocalyptic number.

11830912900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11830912900 is the 108770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11830912900

11830912900 is an abundant number, since it is smaller than the sum of its proper divisors (14374539401).

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

11830912900 is an equidigital number, since it uses as much as digits as its factorization.

11830912900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 34.

The spelling of 11830912900 in words is "eleven billion, eight hundred thirty million, nine hundred twelve thousand, nine hundred".