144000012000000 has 1512 divisors, whose sum is σ = 544701941163408. Its totient is φ = 33567436800000.

The previous prime is 144000011999951. The next prime is 144000012000041. The reversal of 144000012000000 is 210000441.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 144000012000000.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 56315998722 + ... + 56316001278.

Almost surely, 2^{144000012000000} is an apocalyptic number.

144000012000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 12000000×12000001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144000012000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272350970581704).

144000012000000 is an abundant number, since it is smaller than the sum of its proper divisors (400701929163408).

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

144000012000000 is an frugal number, since it uses more digits than its factorization.

144000012000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 144000012000000 its reverse (210000441), we get a palindrome (144000222000441).

The spelling of 144000012000000 in words is "one hundred forty-four trillion, twelve million", and thus it is an aban number.