144001442412200 has 96 divisors (see below), whose sum is σ = 341203117462200. Its totient is φ = 56500069416960.

The previous prime is 144001442412137. The next prime is 144001442412221. The reversal of 144001442412200 is 2214244100441.

It can be written as a sum of positive squares in 12 ways, for example, as 34582185558244 + 109419256853956 = 5880662^2 + 10460366^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42122324 + ... + 45412476.

Almost surely, 2^{144001442412200} is an apocalyptic number.

144001442412200 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 144001442412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170601558731100).

144001442412200 is an abundant number, since it is smaller than the sum of its proper divisors (197201675050000).

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

144001442412200 is a wasteful number, since it uses less digits than its factorization.

144001442412200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294351 (or 3294342 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 144001442412200 its reverse (2214244100441), we get a palindrome (146215686512641).

The spelling of 144001442412200 in words is "one hundred forty-four trillion, one billion, four hundred forty-two million, four hundred twelve thousand, two hundred".