122141433132 has 36 divisors (see below), whose sum is σ = 308810357856. Its totient is φ = 40705377120.

The previous prime is 122141433091. The next prime is 122141433137. The reversal of 122141433132 is 231334141221.

122141433132 is a `hidden beast` number, since 1 + 2 + 214 + 1 + 433 + 13 + 2 = 666.

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 = 122141433096 and 122141433105.

It is not an unprimeable number, because it can be changed into a prime (122141433137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 173988 + ... + 523979.

It is an arithmetic number, because the mean of its divisors is an integer number (8578065496).

Almost surely, 2^122141433132 is an apocalyptic number.

122141433132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122141433132 is an abundant number, since it is smaller than the sum of its proper divisors (186668924724).

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

122141433132 is a wasteful number, since it uses less digits than its factorization.

122141433132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702838 (or 702833 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 122141433132 its reverse (231334141221), we get a palindrome (353475574353).

The spelling of 122141433132 in words is "one hundred twenty-two billion, one hundred forty-one million, four hundred thirty-three thousand, one hundred thirty-two".