12208040100 has 243 divisors, whose sum is σ = 39944928387. Its totient is φ = 3118469760.

The previous prime is 12208040093. The next prime is 12208040107. The reversal of 12208040100 is 104080221.

The square root of 12208040100 is 110490.

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

It is an interprime number because it is at equal distance from previous prime (12208040093) and next prime (12208040107).

It can be written as a sum of positive squares in 4 ways, for example, as 167806116 + 12040233984 = 12954^2 + 109728^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12208040107) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 96126237 + ... + 96126363.

Almost surely, 2^12208040100 is an apocalyptic number.

12208040100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12208040100 is the 110490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12208040100

12208040100 is an abundant number, since it is smaller than the sum of its proper divisors (27736888287).

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

12208040100 is a wasteful number, since it uses less digits than its factorization.

12208040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 12208040100 in words is "twelve billion, two hundred eight million, forty thousand, one hundred".