122120012110313 has 16 divisors (see below), whose sum is σ = 140430547200000. Its totient is φ = 104027437179792.

The previous prime is 122120012110309. The next prime is 122120012110331. The reversal of 122120012110313 is 313011210021221.

It is not a de Polignac number, because 122120012110313 - 2² = 122120012110309 is a prime.

It is a super-3 number, since 3×122120012110313³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122120012110513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72306083 + ... + 73975736.

It is an arithmetic number, because the mean of its divisors is an integer number (8776909200000).

Almost surely, 2^{122120012110313} is an apocalyptic number.

It is an amenable number.

122120012110313 is a deficient number, since it is larger than the sum of its proper divisors (18310535089687).

122120012110313 is a wasteful number, since it uses less digits than its factorization.

122120012110313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146282564.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122120012110313 its reverse (313011210021221), we get a palindrome (435131222131534).

The spelling of 122120012110313 in words is "one hundred twenty-two trillion, one hundred twenty billion, twelve million, one hundred ten thousand, three hundred thirteen".