122301321121 has 24 divisors (see below), whose sum is σ = 143655305640. Its totient is φ = 103809226752.

The previous prime is 122301321113. The next prime is 122301321127. The reversal of 122301321121 is 121123103221.

It can be written as a sum of positive squares in 4 ways, for example, as 158760000 + 122142561121 = 12600^2 + 349489^2 .

It is not a de Polignac number, because 122301321121 - 2³ = 122301321113 is a prime.

It is a super-2 number, since 2×122301321121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122301321127) 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, 11280115 + ... + 11290951.

It is an arithmetic number, because the mean of its divisors is an integer number (5985637735).

Almost surely, 2^122301321121 is an apocalyptic number.

It is an amenable number.

122301321121 is a deficient number, since it is larger than the sum of its proper divisors (21353984519).

122301321121 is a wasteful number, since it uses less digits than its factorization.

122301321121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13073 (or 13066 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122301321121 its reverse (121123103221), we get a palindrome (243424424342).

The spelling of 122301321121 in words is "one hundred twenty-two billion, three hundred one million, three hundred twenty-one thousand, one hundred twenty-one".