12204278100 has 540 divisors, whose sum is σ = 46641569436. Its totient is φ = 2752081920.

The previous prime is 12204278071. The next prime is 12204278117. The reversal of 12204278100 is 187240221.

12204278100 is a `hidden beast` number, since 1 + 220 + 427 + 8 + 10 + 0 = 666.

12204278100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2220671376 + 9983606724 = 47124^2 + 99918^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×12204278100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 38499142 + ... + 38499458.

Almost surely, 2^12204278100 is an apocalyptic number.

12204278100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12204278100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23320784718).

12204278100 is an abundant number, since it is smaller than the sum of its proper divisors (34437291336).

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

12204278100 is a wasteful number, since it uses less digits than its factorization.

12204278100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The spelling of 12204278100 in words is "twelve billion, two hundred four million, two hundred seventy-eight thousand, one hundred".