1122222120201 has 240 divisors, whose sum is σ = 2114229084240. Its totient is φ = 569707084800.

The previous prime is 1122222120137. The next prime is 1122222120241. The reversal of 1122222120201 is 1020212222211.

It is a happy number.

1122222120201 is a `hidden beast` number, since 1 + 1 + 222 + 221 + 20 + 201 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 103828306176 + 1018393814025 = 322224^2 + 1009155^2 .

It is not a de Polignac number, because 1122222120201 - 2⁶ = 1122222120137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1122222120241) 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 239 ways as a sum of consecutive naturals, for example, 1049786295 + ... + 1049787363.

It is an arithmetic number, because the mean of its divisors is an integer number (8809287851).

Almost surely, 2^{1122222120201} is an apocalyptic number.

It is an amenable number.

1122222120201 is a deficient number, since it is larger than the sum of its proper divisors (992006964039).

1122222120201 is a wasteful number, since it uses less digits than its factorization.

1122222120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1122222120201 its reverse (1020212222211), we get a palindrome (2142434342412).

The spelling of 1122222120201 in words is "one trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".