122312343132 has 216 divisors, whose sum is σ = 367130050560. Its totient is φ = 34227385920.

The previous prime is 122312343089. The next prime is 122312343137. The reversal of 122312343132 is 231343213221.

122312343132 is a `hidden beast` number, since 1 + 2 + 2 + 312 + 34 + 313 + 2 = 666.

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 = 122312343096 and 122312343105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122312343137) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17694757 + ... + 17701667.

It is an arithmetic number, because the mean of its divisors is an integer number (1699676160).

Almost surely, 2^122312343132 is an apocalyptic number.

122312343132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122312343132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183565025280).

122312343132 is an abundant number, since it is smaller than the sum of its proper divisors (244817707428).

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

122312343132 is a wasteful number, since it uses less digits than its factorization.

122312343132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141 (or 7129 counting only the distinct ones).

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

Adding to 122312343132 its reverse (231343213221), we get a palindrome (353655556353).

The spelling of 122312343132 in words is "one hundred twenty-two billion, three hundred twelve million, three hundred forty-three thousand, one hundred thirty-two".