122302120223313 has 32 divisors (see below), whose sum is σ = 187037392563200. Its totient is φ = 78902787398400.

The previous prime is 122302120223243. The next prime is 122302120223359. The reversal of 122302120223313 is 313322021203221.

122302120223313 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 2 + 120 + 223 + 313 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-122302120223313 is a prime.

It is a super-3 number, since 3×122302120223313³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 (122302120223813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35402793 + ... + 38703513.

It is an arithmetic number, because the mean of its divisors is an integer number (5844918517600).

Almost surely, 2^{122302120223313} is an apocalyptic number.

It is an amenable number.

122302120223313 is a deficient number, since it is larger than the sum of its proper divisors (64735272339887).

122302120223313 is a wasteful number, since it uses less digits than its factorization.

122302120223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345030 (or 3345024 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 122302120223313 its reverse (313322021203221), we get a palindrome (435624141426534).

The spelling of 122302120223313 in words is "one hundred twenty-two trillion, three hundred two billion, one hundred twenty million, two hundred twenty-three thousand, three hundred thirteen".