4112134214112 has 72 divisors (see below), whose sum is σ = 11713404502800. Its totient is φ = 1368423014400.

The previous prime is 4112134214107. The next prime is 4112134214143. The reversal of 4112134214112 is 2114124312114.

4112134214112 is a `hidden beast` number, since 4 + 1 + 121 + 3 + 421 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11745889 + ... + 12090912.

It is an arithmetic number, because the mean of its divisors is an integer number (162686173650).

Almost surely, 2^{4112134214112} is an apocalyptic number.

It is an amenable number.

4112134214112 is an abundant number, since it is smaller than the sum of its proper divisors (7601270288688).

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

4112134214112 is a wasteful number, since it uses less digits than its factorization.

4112134214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23837416 (or 23837405 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 4112134214112 its reverse (2114124312114), we get a palindrome (6226258526226).

The spelling of 4112134214112 in words is "four trillion, one hundred twelve billion, one hundred thirty-four million, two hundred fourteen thousand, one hundred twelve".