1120221122121 has 12 divisors (see below), whose sum is σ = 1618112462772. Its totient is φ = 746807026176.

The previous prime is 1120221122101. The next prime is 1120221122143. The reversal of 1120221122121 is 1212211220211.

1120221122121 is a `hidden beast` number, since 11 + 202 + 211 + 221 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 276532946496 + 843688175625 = 525864^2 + 918525^2 .

It is not a de Polignac number, because 1120221122121 - 2⁹ = 1120221121609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1120221122094 and 1120221122103.

It is not an unprimeable number, because it can be changed into a prime (1120221122101) 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 11 ways as a sum of consecutive naturals, for example, 529425 + ... + 1587681.

It is an arithmetic number, because the mean of its divisors is an integer number (134842705231).

Almost surely, 2^{1120221122121} is an apocalyptic number.

It is an amenable number.

1120221122121 is a deficient number, since it is larger than the sum of its proper divisors (497891340651).

1120221122121 is a wasteful number, since it uses less digits than its factorization.

1120221122121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175880 (or 1175877 counting only the distinct ones).

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

Adding to 1120221122121 its reverse (1212211220211), we get a palindrome (2332432342332).

The spelling of 1120221122121 in words is "one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twenty-one".