144012000 has 192 divisors, whose sum is σ = 515144448. Its totient is φ = 34880000.

The previous prime is 144011977. The next prime is 144012007. The reversal of 144012000 is 210441.

It is a super-2 number, since 2×144012000² = 41478912288000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144012007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131455 + ... + 132545.

It is an arithmetic number, because the mean of its divisors is an integer number (2683044).

Almost surely, 2^144012000 is an apocalyptic number.

144012000 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 12000×12001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257572224).

144012000 is an abundant number, since it is smaller than the sum of its proper divisors (371132448).

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

144012000 is a wasteful number, since it uses less digits than its factorization.

144012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1112 counting only the distinct ones).

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

The square root of 144012000 is about 12000.4999895838. The cubic root of 144012000 is about 524.1628381118.

Adding to 144012000 its reverse (210441), we get a palindrome (144222441).

The spelling of 144012000 in words is "one hundred forty-four million, twelve thousand".