10134442125120 has 112 divisors (see below), whose sum is σ = 32196733208640. Its totient is φ = 2700848234496.

The previous prime is 10134442125053. The next prime is 10134442125233. The reversal of 10134442125120 is 2152124443101.

10134442125120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1706017 + ... + 4814496.

It is an arithmetic number, because the mean of its divisors is an integer number (287470832220).

Almost surely, 2^{10134442125120} is an apocalyptic number.

10134442125120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134442125120 is an abundant number, since it is smaller than the sum of its proper divisors (22062291083520).

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

10134442125120 is a wasteful number, since it uses less digits than its factorization.

10134442125120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6522152 (or 6522142 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 10134442125120 its reverse (2152124443101), we get a palindrome (12286566568221).

The spelling of 10134442125120 in words is "ten trillion, one hundred thirty-four billion, four hundred forty-two million, one hundred twenty-five thousand, one hundred twenty".