201141343120 has 80 divisors (see below), whose sum is σ = 492840599040. Its totient is φ = 76133164032.

The previous prime is 201141343061. The next prime is 201141343153. The reversal of 201141343120 is 21343141102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 201141343091 and 201141343100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1235092 + ... + 1388428.

It is an arithmetic number, because the mean of its divisors is an integer number (6160507488).

Almost surely, 2^201141343120 is an apocalyptic number.

201141343120 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 201141343120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246420299520).

201141343120 is an abundant number, since it is smaller than the sum of its proper divisors (291699255920).

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

201141343120 is a wasteful number, since it uses less digits than its factorization.

201141343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154232 (or 154226 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 201141343120 its reverse (21343141102), we get a palindrome (222484484222).

The spelling of 201141343120 in words is "two hundred one billion, one hundred forty-one million, three hundred forty-three thousand, one hundred twenty".