1223321121009 has 40 divisors (see below), whose sum is σ = 1976168272232. Its totient is φ = 749689136640.

The previous prime is 1223321120981. The next prime is 1223321121013. The reversal of 1223321121009 is 9001211233221.

1223321121009 is a `hidden beast` number, since 1 + 2 + 233 + 211 + 210 + 0 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 184762425600 + 1038558695409 = 429840^2 + 1019097^2 .

It is not a de Polignac number, because 1223321121009 - 2⁸ = 1223321120753 is a prime.

It is a super-3 number, since 3×1223321121009³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1223321121019) 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 39 ways as a sum of consecutive naturals, for example, 2156494 + ... + 2664039.

Almost surely, 2^{1223321121009} is an apocalyptic number.

It is an amenable number.

1223321121009 is a deficient number, since it is larger than the sum of its proper divisors (752847151223).

1223321121009 is a wasteful number, since it uses less digits than its factorization.

1223321121009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4820799 (or 4820790 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1223321121009 in words is "one trillion, two hundred twenty-three billion, three hundred twenty-one million, one hundred twenty-one thousand, nine".