144123014112000 has 1152 divisors, whose sum is σ = 597106991609856. Its totient is φ = 29933568000000.

The previous prime is 144123014111939. The next prime is 144123014112031. The reversal of 144123014112000 is 211410321441.

It is a happy number.

It is a super-2 number, since 2×144123014112000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24844509100 + ... + 24844514900.

It is an arithmetic number, because the mean of its divisors is an integer number (518322041328).

Almost surely, 2^{144123014112000} is an apocalyptic number.

144123014112000 is a gapful number since it is divisible by the number (10) 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 144123014112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298553495804928).

144123014112000 is an abundant number, since it is smaller than the sum of its proper divisors (452983977497856).

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

144123014112000 is a wasteful number, since it uses less digits than its factorization.

144123014112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9214 (or 9190 counting only the distinct ones).

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

Adding to 144123014112000 its reverse (211410321441), we get a palindrome (144334424433441).

The spelling of 144123014112000 in words is "one hundred forty-four trillion, one hundred twenty-three billion, fourteen million, one hundred twelve thousand".