1220123331333 has 24 divisors (see below), whose sum is σ = 1763802869400. Its totient is φ = 812768509440.

The previous prime is 1220123331289. The next prime is 1220123331347. The reversal of 1220123331333 is 3331333210221.

1220123331333 is a `hidden beast` number, since 1 + 220 + 123 + 3 + 313 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 340311223044 + 879812108289 = 583362^2 + 937983^2 .

It is not a de Polignac number, because 1220123331333 - 2⁴⁰ = 120611703557 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1220123331297 and 1220123331306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220123330333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78000193 + ... + 78015833.

It is an arithmetic number, because the mean of its divisors is an integer number (73491786225).

Almost surely, 2^{1220123331333} is an apocalyptic number.

It is an amenable number.

1220123331333 is a deficient number, since it is larger than the sum of its proper divisors (543679538067).

1220123331333 is a wasteful number, since it uses less digits than its factorization.

1220123331333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21989 (or 21986 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1220123331333 its reverse (3331333210221), we get a palindrome (4551456541554).

The spelling of 1220123331333 in words is "one trillion, two hundred twenty billion, one hundred twenty-three million, three hundred thirty-one thousand, three hundred thirty-three".