12106804920 has 128 divisors (see below), whose sum is σ = 41558400000. Its totient is φ = 2763979776.

The previous prime is 12106804907. The next prime is 12106804933. The reversal of 12106804920 is 2940860121.

It is an interprime number because it is at equal distance from previous prime (12106804907) and next prime (12106804933).

It is a congruent number.

It is an unprimeable number.

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, 736956 + ... + 753204.

It is an arithmetic number, because the mean of its divisors is an integer number (324675000).

Almost surely, 2^12106804920 is an apocalyptic number.

12106804920 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 12106804920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20779200000).

12106804920 is an abundant number, since it is smaller than the sum of its proper divisors (29451595080).

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

12106804920 is a wasteful number, since it uses less digits than its factorization.

12106804920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17157 (or 17153 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 12106804920 in words is "twelve billion, one hundred six million, eight hundred four thousand, nine hundred twenty".