12200605128 has 128 divisors (see below), whose sum is σ = 36207552000. Its totient is φ = 3795232320.

The previous prime is 12200605127. The next prime is 12200605133. The reversal of 12200605128 is 82150600221.

It is a happy number.

12200605128 is a `hidden beast` number, since 12 + 20 + 0 + 605 + 1 + 28 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12200605127) 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 31 ways as a sum of consecutive naturals, for example, 252783 + ... + 297153.

It is an arithmetic number, because the mean of its divisors is an integer number (282871500).

Almost surely, 2^12200605128 is an apocalyptic number.

12200605128 is a gapful number since it is divisible by the number (18) 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 12200605128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18103776000).

12200605128 is an abundant number, since it is smaller than the sum of its proper divisors (24006946872).

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

12200605128 is a wasteful number, since it uses less digits than its factorization.

12200605128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44472 (or 44462 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 12200605128 in words is "twelve billion, two hundred million, six hundred five thousand, one hundred twenty-eight".