1000012344144 has 160 divisors (see below), whose sum is σ = 2827353752064. Its totient is φ = 302053040640.

The previous prime is 1000012344083. The next prime is 1000012344157. The reversal of 1000012344144 is 4414432100001.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 405354399 + ... + 405356865.

Almost surely, 2^{1000012344144} 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 1000012344144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413676876032).

1000012344144 is an abundant number, since it is smaller than the sum of its proper divisors (1827341407920).

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

1000012344144 is a wasteful number, since it uses less digits than its factorization.

1000012344144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4665 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1000012344144 its reverse (4414432100001), we get a palindrome (5414444444145).

The spelling of 1000012344144 in words is "one trillion, twelve million, three hundred forty-four thousand, one hundred forty-four".