1205180201 has 8 divisors (see below), whose sum is σ = 1282688424. Its totient is φ = 1128407040.

The previous prime is 1205180161. The next prime is 1205180257. The reversal of 1205180201 is 1020815021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 545923225 + 659256976 = 23365^2 + 25676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1205180201 - 2²² = 1200985897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205180101) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 180380 + ... + 186941.

It is an arithmetic number, because the mean of its divisors is an integer number (160336053).

Almost surely, 2^1205180201 is an apocalyptic number.

It is an amenable number.

1205180201 is a deficient number, since it is larger than the sum of its proper divisors (77508223).

1205180201 is a wasteful number, since it uses less digits than its factorization.

1205180201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367531.

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 1205180201 is about 34715.7053939568. The cubic root of 1205180201 is about 1064.1854810836.

Adding to 1205180201 its reverse (1020815021), we get a palindrome (2225995222).

The spelling of 1205180201 in words is "one billion, two hundred five million, one hundred eighty thousand, two hundred one".