144310211201000 has 128 divisors (see below), whose sum is σ = 385053599417760. Its totient is φ = 50149430784000.

The previous prime is 144310211200963. The next prime is 144310211201069. The reversal of 144310211201000 is 102112013441.

It can be written as a sum of positive squares in 16 ways, for example, as 12817158971236 + 131493052229764 = 3580106^2 + 11467042^2 .

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 31 ways as a sum of consecutive naturals, for example, 326272691 + ... + 326714690.

Almost surely, 2^{144310211201000} is an apocalyptic number.

144310211201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144310211201000 is an abundant number, since it is smaller than the sum of its proper divisors (240743388216760).

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

144310211201000 is a wasteful number, since it uses less digits than its factorization.

144310211201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652987432 (or 652987418 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 144310211201000 its reverse (102112013441), we get a palindrome (144412323214441).

The spelling of 144310211201000 in words is "one hundred forty-four trillion, three hundred ten billion, two hundred eleven million, two hundred one thousand".