122112131301 has 96 divisors (see below), whose sum is σ = 195811799040. Its totient is φ = 73034462592.

The previous prime is 122112131293. The next prime is 122112131311. The reversal of 122112131301 is 103131211221.

122112131301 is a `hidden beast` number, since 1 + 221 + 12 + 131 + 301 = 666.

It is not a de Polignac number, because 122112131301 - 2³ = 122112131293 is a prime.

It is a super-2 number, since 2×122112131301² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112131311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99845776 + ... + 99846998.

It is an arithmetic number, because the mean of its divisors is an integer number (2039706240).

Almost surely, 2^122112131301 is an apocalyptic number.

It is an amenable number.

122112131301 is a deficient number, since it is larger than the sum of its proper divisors (73699667739).

122112131301 is a wasteful number, since it uses less digits than its factorization.

122112131301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 122112131301 its reverse (103131211221), we get a palindrome (225243342522).

The spelling of 122112131301 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thirty-one thousand, three hundred one".