1220212120221 has 12 divisors (see below), whose sum is σ = 1779979397820. Its totient is φ = 805420540800.

The previous prime is 1220212120219. The next prime is 1220212120273.

It is a happy number.

1220212120221 is a `hidden beast` number, since 1 + 220 + 212 + 12 + 0 + 221 = 666.

1220212120221 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 936416194596 + 283795925625 = 967686^2 + 532725^2 .

It is not a de Polignac number, because 1220212120221 - 2¹ = 1220212120219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220212120194 and 1220212120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220212120321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 671182876 + ... + 671184693.

It is an arithmetic number, because the mean of its divisors is an integer number (148331616485).

Almost surely, 2^{1220212120221} is an apocalyptic number.

It is an amenable number.

1220212120221 is a deficient number, since it is larger than the sum of its proper divisors (559767277599).

1220212120221 is a wasteful number, since it uses less digits than its factorization.

1220212120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342367676 (or 1342367673 counting only the distinct ones).

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

The spelling of 1220212120221 in words is "one trillion, two hundred twenty billion, two hundred twelve million, one hundred twenty thousand, two hundred twenty-one".