144202421121000 has 512 divisors, whose sum is σ = 504171295280640. Its totient is φ = 34007040000000.

The previous prime is 144202421120929. The next prime is 144202421121023. The reversal of 144202421121000 is 121124202441.

It is a happy number.

144202421121000 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 127 ways as a sum of consecutive naturals, for example, 11722814850 + ... + 11722827150.

It is an arithmetic number, because the mean of its divisors is an integer number (984709561095).

Almost surely, 2^{144202421121000} is an apocalyptic number.

144202421121000 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 144202421121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252085647640320).

144202421121000 is an abundant number, since it is smaller than the sum of its proper divisors (359968874159640).

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

144202421121000 is a wasteful number, since it uses less digits than its factorization.

144202421121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21974 (or 21960 counting only the distinct ones).

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

Adding to 144202421121000 its reverse (121124202441), we get a palindrome (144323545323441).

The spelling of 144202421121000 in words is "one hundred forty-four trillion, two hundred two billion, four hundred twenty-one million, one hundred twenty-one thousand".