1220212211121 has 36 divisors (see below), whose sum is σ = 1783758884544. Its totient is φ = 803788946400.

The previous prime is 1220212211077. The next prime is 1220212211123. The reversal of 1220212211121 is 1211122120221.

1220212211121 is a `hidden beast` number, since 1 + 220 + 212 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 1220212211121 - 2⁷ = 1220212210993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220212211094 and 1220212211103.

It is not an unprimeable number, because it can be changed into a prime (1220212211123) 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 35 ways as a sum of consecutive naturals, for example, 46166716 + ... + 46193138.

It is an arithmetic number, because the mean of its divisors is an integer number (49548857904).

Almost surely, 2^{1220212211121} is an apocalyptic number.

It is an amenable number.

1220212211121 is a deficient number, since it is larger than the sum of its proper divisors (563546673423).

1220212211121 is a wasteful number, since it uses less digits than its factorization.

1220212211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27134 (or 27030 counting only the distinct ones).

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

Adding to 1220212211121 its reverse (1211122120221), we get a palindrome (2431334331342).

The spelling of 1220212211121 in words is "one trillion, two hundred twenty billion, two hundred twelve million, two hundred eleven thousand, one hundred twenty-one".