12106407456 has 432 divisors, whose sum is σ = 41640842880. Its totient is φ = 3288729600.

The previous prime is 12106407433. The next prime is 12106407457. The reversal of 12106407456 is 65470460121.

12106407456 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 640 + 7 + 4 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12106407456.

It is not an unprimeable number, because it can be changed into a prime (12106407457) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 153245625 + ... + 153245703.

It is an arithmetic number, because the mean of its divisors is an integer number (96390840).

Almost surely, 2^12106407456 is an apocalyptic number.

12106407456 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 12106407456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20820421440).

12106407456 is an abundant number, since it is smaller than the sum of its proper divisors (29534435424).

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

12106407456 is a wasteful number, since it uses less digits than its factorization.

12106407456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

Adding to 12106407456 its reverse (65470460121), we get a palindrome (77576867577).

The spelling of 12106407456 in words is "twelve billion, one hundred six million, four hundred seven thousand, four hundred fifty-six".