201741120 has 168 divisors, whose sum is σ = 793113984. Its totient is φ = 46107648.

The previous prime is 201741103. The next prime is 201741143. The reversal of 201741120 is 21147102.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 201741093 and 201741102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15157 + ... + 25163.

Almost surely, 2^201741120 is an apocalyptic number.

201741120 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 201741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396556992).

201741120 is an abundant number, since it is smaller than the sum of its proper divisors (591372864).

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

201741120 is a wasteful number, since it uses less digits than its factorization.

201741120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10037 (or 10024 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 201741120 is about 14203.5601170974. The cubic root of 201741120 is about 586.4956687125.

Adding to 201741120 its reverse (21147102), we get a palindrome (222888222).

It can be divided in two parts, 201 and 741120, that added together give a square (741321 = 861²).

The spelling of 201741120 in words is "two hundred one million, seven hundred forty-one thousand, one hundred twenty".