201444452120 has 128 divisors (see below), whose sum is σ = 485655367680. Its totient is φ = 75014016000.

The previous prime is 201444452063. The next prime is 201444452147. The reversal of 201444452120 is 21254444102.

It is a happy number.

201444452120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16251125 + ... + 16263515.

It is an arithmetic number, because the mean of its divisors is an integer number (3794182560).

Almost surely, 2^201444452120 is an apocalyptic number.

201444452120 is a gapful number since it is divisible by the number (20) 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 201444452120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242827683840).

201444452120 is an abundant number, since it is smaller than the sum of its proper divisors (284210915560).

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

201444452120 is a wasteful number, since it uses less digits than its factorization.

201444452120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12897 (or 12893 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 201444452120 its reverse (21254444102), we get a palindrome (222698896222).

The spelling of 201444452120 in words is "two hundred one billion, four hundred forty-four million, four hundred fifty-two thousand, one hundred twenty".