12190368100 has 81 divisors (see below), whose sum is σ = 27043271073. Its totient is φ = 4769712000.

The previous prime is 12190368089. The next prime is 12190368107. The reversal of 12190368100 is 186309121.

The square root of 12190368100 is 110410.

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 7833312036 + 4357056064 = 88506^2 + 66008^2 .

It is a super-2 number, since 2×12190368100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12190368107) 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, 67350010 + ... + 67350190.

Almost surely, 2^12190368100 is an apocalyptic number.

12190368100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12190368100 is the 110410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12190368100

12190368100 is an abundant number, since it is smaller than the sum of its proper divisors (14852902973).

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

12190368100 is an equidigital number, since it uses as much as digits as its factorization.

12190368100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 249 counting only the distinct ones).

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

The spelling of 12190368100 in words is "twelve billion, one hundred ninety million, three hundred sixty-eight thousand, one hundred".