144114212000 has 192 divisors, whose sum is σ = 387249932160. Its totient is φ = 52273408000.

The previous prime is 144114211999. The next prime is 144114212003. The reversal of 144114212000 is 212411441.

It is a super-2 number, since 2×144114212000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (144114212003) 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, 18432092 + ... + 18439908.

It is an arithmetic number, because the mean of its divisors is an integer number (2016926730).

Almost surely, 2^144114212000 is an apocalyptic number.

144114212000 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 144114212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193624966080).

144114212000 is an abundant number, since it is smaller than the sum of its proper divisors (243135720160).

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

144114212000 is a wasteful number, since it uses less digits than its factorization.

144114212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8254 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 144114212000 its reverse (212411441), we get a palindrome (144326623441).

The spelling of 144114212000 in words is "one hundred forty-four billion, one hundred fourteen million, two hundred twelve thousand".