12106564416 has 168 divisors, whose sum is σ = 37928726784. Its totient is φ = 3675525120.

The previous prime is 12106564403. The next prime is 12106564423. The reversal of 12106564416 is 61446560121.

12106564416 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 6 + 5 + 644 + 1 + 6 = 666.

It is a super-3 number, since 3×12106564416³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283611 + ... + 323493.

Almost surely, 2^12106564416 is an apocalyptic number.

12106564416 is a gapful number since it is divisible by the number (16) 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 12106564416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964363392).

12106564416 is an abundant number, since it is smaller than the sum of its proper divisors (25822162368).

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

12106564416 is a wasteful number, since it uses less digits than its factorization.

12106564416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39949 (or 39936 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 12106564416 in words is "twelve billion, one hundred six million, five hundred sixty-four thousand, four hundred sixteen".