12205535201 has 8 divisors (see below), whose sum is σ = 12639697704. Its totient is φ = 11778923520.

The previous prime is 12205535149. The next prime is 12205535213. The reversal of 12205535201 is 10253550221.

It can be written as a sum of positive squares in 4 ways, for example, as 6553600 + 12198981601 = 2560^2 + 110449^2 .

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

It is not a de Polignac number, because 12205535201 - 2¹⁴ = 12205518817 is a prime.

It is a super-2 number, since 2×12205535201² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12205535231) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1884416 + ... + 1890881.

It is an arithmetic number, because the mean of its divisors is an integer number (1579962213).

Almost surely, 2^12205535201 is an apocalyptic number.

It is an amenable number.

12205535201 is a deficient number, since it is larger than the sum of its proper divisors (434162503).

12205535201 is an equidigital number, since it uses as much as digits as its factorization.

12205535201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775411.

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 12205535201 in words is "twelve billion, two hundred five million, five hundred thirty-five thousand, two hundred one".