10012144304112 has 80 divisors (see below), whose sum is σ = 26415816660480. Its totient is φ = 3266274686976.

The previous prime is 10012144304111. The next prime is 10012144304147. The reversal of 10012144304112 is 21140344121001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012144304111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134892003 + ... + 134966205.

It is an arithmetic number, because the mean of its divisors is an integer number (330197708256).

Almost surely, 2^{10012144304112} is an apocalyptic number.

10012144304112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10012144304112 is an abundant number, since it is smaller than the sum of its proper divisors (16403672356368).

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

10012144304112 is a wasteful number, since it uses less digits than its factorization.

10012144304112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134070 (or 134064 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10012144304112 its reverse (21140344121001), we get a palindrome (31152488425113).

The spelling of 10012144304112 in words is "ten trillion, twelve billion, one hundred forty-four million, three hundred four thousand, one hundred twelve".