10144125712 has 80 divisors (see below), whose sum is σ = 23646700800. Its totient is φ = 4121542656.

The previous prime is 10144125653. The next prime is 10144125713. The reversal of 10144125712 is 21752144101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10144125713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273664 + ... + 308512.

It is an arithmetic number, because the mean of its divisors is an integer number (295583760).

Almost surely, 2^10144125712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10144125712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823350400).

10144125712 is an abundant number, since it is smaller than the sum of its proper divisors (13502575088).

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

10144125712 is a wasteful number, since it uses less digits than its factorization.

10144125712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35000 (or 34994 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

Adding to 10144125712 its reverse (21752144101), we get a palindrome (31896269813).

The spelling of 10144125712 in words is "ten billion, one hundred forty-four million, one hundred twenty-five thousand, seven hundred twelve".