201141200 has 120 divisors (see below), whose sum is σ = 532132608. Its totient is φ = 72599040.

The previous prime is 201141179. The next prime is 201141221. The reversal of 201141200 is 2141102.

It is an interprime number because it is at equal distance from previous prime (201141179) and next prime (201141221).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243989 + ... + 244811.

Almost surely, 2^201141200 is an apocalyptic number.

201141200 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 201141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266066304).

201141200 is an abundant number, since it is smaller than the sum of its proper divisors (330991408).

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

201141200 is a wasteful number, since it uses less digits than its factorization.

201141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 201141200 is about 14182.4257445615. The cubic root of 201141200 is about 585.9137350835.

Adding to 201141200 its reverse (2141102), we get a palindrome (203282302).

The spelling of 201141200 in words is "two hundred one million, one hundred forty-one thousand, two hundred".