1201121122221 has 12 divisors (see below), whose sum is σ = 1781843346972. Its totient is φ = 779105592576.

The previous prime is 1201121122217. The next prime is 1201121122301. The reversal of 1201121122221 is 1222211211021.

1201121122221 is a `hidden beast` number, since 1 + 201 + 121 + 122 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1006031066121 + 195090056100 = 1003011^2 + 441690^2 .

It is not a de Polignac number, because 1201121122221 - 2² = 1201121122217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1201121122194 and 1201121122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201121122121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1803484836 + ... + 1803485501.

It is an arithmetic number, because the mean of its divisors is an integer number (148486945581).

Almost surely, 2^{1201121122221} is an apocalyptic number.

It is an amenable number.

1201121122221 is a deficient number, since it is larger than the sum of its proper divisors (580722224751).

1201121122221 is a wasteful number, since it uses less digits than its factorization.

1201121122221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606970380 (or 3606970377 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1201121122221 its reverse (1222211211021), we get a palindrome (2423332333242).

The spelling of 1201121122221 in words is "one trillion, two hundred one billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred twenty-one".