144121012240200 has 192 divisors, whose sum is σ = 448321050408000. Its totient is φ = 38299418956800.

The previous prime is 144121012240189. The next prime is 144121012240237. The reversal of 144121012240200 is 2042210121441.

It is a happy number.

144121012240200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354310935 + ... + 354717465.

It is an arithmetic number, because the mean of its divisors is an integer number (2335005470875).

Almost surely, 2^{144121012240200} is an apocalyptic number.

144121012240200 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 144121012240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224160525204000).

144121012240200 is an abundant number, since it is smaller than the sum of its proper divisors (304200038167800).

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

144121012240200 is a wasteful number, since it uses less digits than its factorization.

144121012240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408592 (or 408583 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 144121012240200 its reverse (2042210121441), we get a palindrome (146163222361641).

The spelling of 144121012240200 in words is "one hundred forty-four trillion, one hundred twenty-one billion, twelve million, two hundred forty thousand, two hundred".