181222201121 has 8 divisors (see below), whose sum is σ = 195866931624. Its totient is φ = 166678122240.

The previous prime is 181222201091. The next prime is 181222201133. The reversal of 181222201121 is 121102222181.

181222201121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2922916096 + 178299285025 = 54064^2 + 422255^2 .

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 181222201121 - 2¹⁸ = 181221938977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (181222200121) 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, 25159160 + ... + 25166361.

It is an arithmetic number, because the mean of its divisors is an integer number (24483366453).

Almost surely, 2^181222201121 is an apocalyptic number.

It is an amenable number.

181222201121 is a deficient number, since it is larger than the sum of its proper divisors (14644730503).

181222201121 is a wasteful number, since it uses less digits than its factorization.

181222201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50325811.

The product of its (nonzero) digits is 256, while the sum is 23.

The spelling of 181222201121 in words is "one hundred eighty-one billion, two hundred twenty-two million, two hundred one thousand, one hundred twenty-one".