122231334132 has 36 divisors (see below), whose sum is σ = 316509596676. Its totient is φ = 39750026880.

The previous prime is 122231334131. The next prime is 122231334133. The reversal of 122231334132 is 231433132221.

122231334132 is a `hidden beast` number, since 1 + 2 + 2 + 2 + 313 + 341 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (122231334131) and next prime (122231334133).

It can be written as a sum of positive squares in 2 ways, for example, as 46983163536 + 75248170596 = 216756^2 + 274314^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122231334096 and 122231334105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122231334131) 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 11 ways as a sum of consecutive naturals, for example, 41404803 + ... + 41407754.

It is an arithmetic number, because the mean of its divisors is an integer number (8791933241).

Almost surely, 2^122231334132 is an apocalyptic number.

122231334132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122231334132 is an abundant number, since it is smaller than the sum of its proper divisors (194278262544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122231334132 is a wasteful number, since it uses less digits than its factorization.

122231334132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82812608 (or 82812603 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 122231334132 its reverse (231433132221), we get a palindrome (353664466353).

The spelling of 122231334132 in words is "one hundred twenty-two billion, two hundred thirty-one million, three hundred thirty-four thousand, one hundred thirty-two".