144322142221200 has 120 divisors (see below), whose sum is σ = 466889275138176. Its totient is φ = 38104856000000.

The previous prime is 144322142221193. The next prime is 144322142221219. The reversal of 144322142221200 is 2122241223441.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 595267176 + ... + 595509575.

Almost surely, 2^{144322142221200} is an apocalyptic number.

144322142221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144322142221200 is an abundant number, since it is smaller than the sum of its proper divisors (322567132916976).

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

144322142221200 is a wasteful number, since it uses less digits than its factorization.

144322142221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190776873 (or 1190776862 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 144322142221200 its reverse (2122241223441), we get a palindrome (146444383444641).

The spelling of 144322142221200 in words is "one hundred forty-four trillion, three hundred twenty-two billion, one hundred forty-two million, two hundred twenty-one thousand, two hundred".