56106122112 has 192 divisors, whose sum is σ = 164551720320. Its totient is φ = 18345600000.

The previous prime is 56106122089. The next prime is 56106122129. The reversal of 56106122112 is 21122160165.

56106122112 is a `hidden beast` number, since 5 + 6 + 10 + 612 + 21 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 17256487 + ... + 17259737.

It is an arithmetic number, because the mean of its divisors is an integer number (857040210).

Almost surely, 2^56106122112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56106122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82275860160).

56106122112 is an abundant number, since it is smaller than the sum of its proper divisors (108445598208).

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

56106122112 is a wasteful number, since it uses less digits than its factorization.

56106122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 56106122112 its reverse (21122160165), we get a palindrome (77228282277).

The spelling of 56106122112 in words is "fifty-six billion, one hundred six million, one hundred twenty-two thousand, one hundred twelve".