9140125734012 has 192 divisors, whose sum is σ = 27504427991040. Its totient is φ = 2296125570816.

The previous prime is 9140125734001. The next prime is 9140125734017. The reversal of 9140125734012 is 2104375210419.

It is a super-2 number, since 2×9140125734012² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9140125734017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5241393 + ... + 6764055.

It is an arithmetic number, because the mean of its divisors is an integer number (143252229120).

Almost surely, 2^{9140125734012} is an apocalyptic number.

9140125734012 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9140125734012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13752213995520).

9140125734012 is an abundant number, since it is smaller than the sum of its proper divisors (18364302257028).

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

9140125734012 is a wasteful number, since it uses less digits than its factorization.

9140125734012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522952 (or 1522950 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 9140125734012 in words is "nine trillion, one hundred forty billion, one hundred twenty-five million, seven hundred thirty-four thousand, twelve".