144320011123200 has 480 divisors, whose sum is σ = 520803897970752. Its totient is φ = 34938863616000.

The previous prime is 144320011123193. The next prime is 144320011123201. The reversal of 144320011123200 is 2321110023441.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×144320011123200² (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 not an unprimeable number, because it can be changed into a prime (144320011123201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309386140 + ... + 309852260.

Almost surely, 2^{144320011123200} is an apocalyptic number.

144320011123200 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 144320011123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260401948985376).

144320011123200 is an abundant number, since it is smaller than the sum of its proper divisors (376483886847552).

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

144320011123200 is a wasteful number, since it uses less digits than its factorization.

144320011123200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466896 (or 466875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 144320011123200 its reverse (2321110023441), we get a palindrome (146641121146641).

The spelling of 144320011123200 in words is "one hundred forty-four trillion, three hundred twenty billion, eleven million, one hundred twenty-three thousand, two hundred".