10134040323120 has 80 divisors (see below), whose sum is σ = 35903457150720. Its totient is φ = 2316352073472.

The previous prime is 10134040323083. The next prime is 10134040323133. The reversal of 10134040323120 is 2132304043101.

It is a happy number.

10134040323120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10134040323120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3016081750 + ... + 3016085109.

It is an arithmetic number, because the mean of its divisors is an integer number (448793214384).

Almost surely, 2^{10134040323120} is an apocalyptic number.

10134040323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10134040323120 is an abundant number, since it is smaller than the sum of its proper divisors (25769416827600).

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

10134040323120 is a wasteful number, since it uses less digits than its factorization.

10134040323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6032166882 (or 6032166876 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10134040323120 its reverse (2132304043101), we get a palindrome (12266344366221).

The spelling of 10134040323120 in words is "ten trillion, one hundred thirty-four billion, forty million, three hundred twenty-three thousand, one hundred twenty".