12122583642 has 96 divisors (see below), whose sum is σ = 31069584000. Its totient is φ = 3380040576.

The previous prime is 12122583637. The next prime is 12122583643. The reversal of 12122583642 is 24638522121.

12122583642 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 2 + 5 + 8 + 3 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12122583597 and 12122583606.

It is not an unprimeable number, because it can be changed into a prime (12122583643) 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 47 ways as a sum of consecutive naturals, for example, 42984 + ... + 161532.

It is an arithmetic number, because the mean of its divisors is an integer number (323641500).

Almost surely, 2^12122583642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12122583642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534792000).

12122583642 is an abundant number, since it is smaller than the sum of its proper divisors (18947000358).

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

12122583642 is a wasteful number, since it uses less digits than its factorization.

12122583642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118612 (or 118609 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 12122583642 in words is "twelve billion, one hundred twenty-two million, five hundred eighty-three thousand, six hundred forty-two".