122224020113 has 48 divisors (see below), whose sum is σ = 140010973200. Its totient is φ = 106041408000.

The previous prime is 122224020109. The next prime is 122224020167. The reversal of 122224020113 is 311020422221.

It can be written as a sum of positive squares in 8 ways, for example, as 1941988624 + 120282031489 = 44068^2 + 346817^2 .

It is not a de Polignac number, because 122224020113 - 2² = 122224020109 is a prime.

It is a super-2 number, since 2×122224020113² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122224020313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103491383 + ... + 103492563.

It is an arithmetic number, because the mean of its divisors is an integer number (2916895275).

Almost surely, 2^122224020113 is an apocalyptic number.

122224020113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122224020113 is a deficient number, since it is larger than the sum of its proper divisors (17786953087).

122224020113 is a wasteful number, since it uses less digits than its factorization.

122224020113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1467 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 122224020113 its reverse (311020422221), we get a palindrome (433244442334).

The spelling of 122224020113 in words is "one hundred twenty-two billion, two hundred twenty-four million, twenty thousand, one hundred thirteen".