12031896100 has 81 divisors (see below), whose sum is σ = 30391338033. Its totient is φ = 4122588960.

The previous prime is 12031896073. The next prime is 12031896109. The reversal of 12031896100 is 169813021.

The square root of 12031896100 is 109690.

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

It can be written as a sum of positive squares in only one way, i.e., 4331482596 + 7700413504 = 65814^2 + 87752^2 .

It is a super-2 number, since 2×12031896100² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12031896109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7677517 + ... + 7679083.

Almost surely, 2^12031896100 is an apocalyptic number.

12031896100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12031896100 is the 109690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12031896100

12031896100 is an abundant number, since it is smaller than the sum of its proper divisors (18359441933).

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

12031896100 is an equidigital number, since it uses as much as digits as its factorization.

12031896100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 12031896100 in words is "twelve billion, thirty-one million, eight hundred ninety-six thousand, one hundred".