144120010032200 has 96 divisors (see below), whose sum is σ = 338469622272000. Its totient is φ = 57066697175040.

The previous prime is 144120010032091. The next prime is 144120010032281. The reversal of 144120010032200 is 2230010021441.

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

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, 5086097 + ... + 17723103.

It is an arithmetic number, because the mean of its divisors is an integer number (3525725232000).

Almost surely, 2^{144120010032200} is an apocalyptic number.

144120010032200 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 144120010032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169234811136000).

144120010032200 is an abundant number, since it is smaller than the sum of its proper divisors (194349612239800).

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

144120010032200 is a wasteful number, since it uses less digits than its factorization.

144120010032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12637599 (or 12637590 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 144120010032200 its reverse (2230010021441), we get a palindrome (146350020053641).

The spelling of 144120010032200 in words is "one hundred forty-four trillion, one hundred twenty billion, ten million, thirty-two thousand, two hundred".