4134120225120 has 144 divisors (see below), whose sum is σ = 14108333016960. Its totient is φ = 1102381443072.

The previous prime is 4134120225077. The next prime is 4134120225121. The reversal of 4134120225120 is 215220214314.

4134120225120 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 120 + 22 + 512 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4134120225121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39589617 + ... + 39693903.

It is an arithmetic number, because the mean of its divisors is an integer number (97974534840).

Almost surely, 2^{4134120225120} is an apocalyptic number.

4134120225120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4134120225120 is an abundant number, since it is smaller than the sum of its proper divisors (9974212791840).

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

4134120225120 is a wasteful number, since it uses less digits than its factorization.

4134120225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131837 (or 131826 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 4134120225120 its reverse (215220214314), we get a palindrome (4349340439434).

The spelling of 4134120225120 in words is "four trillion, one hundred thirty-four billion, one hundred twenty million, two hundred twenty-five thousand, one hundred twenty".