122132231001 has 60 divisors (see below), whose sum is σ = 204322714596. Its totient is φ = 72622630080.

The previous prime is 122132230993. The next prime is 122132231003. The reversal of 122132231001 is 100132231221.

122132231001 is a `hidden beast` number, since 12 + 21 + 322 + 310 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63780997401 + 58351233600 = 252549^2 + 241560^2 .

It is not a de Polignac number, because 122132231001 - 2³ = 122132230993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122132231003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 401895 + ... + 637011.

Almost surely, 2^122132231001 is an apocalyptic number.

122132231001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122132231001 is a deficient number, since it is larger than the sum of its proper divisors (82190483595).

122132231001 is a wasteful number, since it uses less digits than its factorization.

122132231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235204 (or 235184 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122132231001 its reverse (100132231221), we get a palindrome (222264462222).

The spelling of 122132231001 in words is "one hundred twenty-two billion, one hundred thirty-two million, two hundred thirty-one thousand, one".