12106506240 has 560 divisors, whose sum is σ = 44959539240. Its totient is φ = 3114270720.

The previous prime is 12106506197. The next prime is 12106506289. The reversal of 12106506240 is 4260560121.

12106506240 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 650 + 6 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4541681664 + 7564824576 = 67392^2 + 86976^2 .

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 136028116 + ... + 136028204.

Almost surely, 2^12106506240 is an apocalyptic number.

12106506240 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 12106506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22479769620).

12106506240 is an abundant number, since it is smaller than the sum of its proper divisors (32853033000).

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

12106506240 is an frugal number, since it uses more digits than its factorization.

12106506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 12106506240 in words is "twelve billion, one hundred six million, five hundred six thousand, two hundred forty".