22134434112 has 224 divisors, whose sum is σ = 78742275840. Its totient is φ = 5952061440.

The previous prime is 22134434111. The next prime is 22134434117. The reversal of 22134434112 is 21143443122.

22134434112 is a `hidden beast` number, since 2 + 213 + 4 + 434 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134434111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151812 + ... + 259452.

Almost surely, 2^22134434112 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 22134434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39371137920).

22134434112 is an abundant number, since it is smaller than the sum of its proper divisors (56607841728).

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

22134434112 is a wasteful number, since it uses less digits than its factorization.

22134434112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107686 (or 107670 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 22134434112 its reverse (21143443122), we get a palindrome (43277877234).

The spelling of 22134434112 in words is "twenty-two billion, one hundred thirty-four million, four hundred thirty-four thousand, one hundred twelve".