12106758528 has 256 divisors, whose sum is σ = 37325880000. Its totient is φ = 3858333696.

The previous prime is 12106758497. The next prime is 12106758553. The reversal of 12106758528 is 82585760121.

12106758528 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 67 + 585 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11324778 + ... + 11325846.

Almost surely, 2^12106758528 is an apocalyptic number.

12106758528 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 12106758528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18662940000).

12106758528 is an abundant number, since it is smaller than the sum of its proper divisors (25219121472).

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

12106758528 is a wasteful number, since it uses less digits than its factorization.

12106758528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 12106758528 in words is "twelve billion, one hundred six million, seven hundred fifty-eight thousand, five hundred twenty-eight".