122143242312 has 192 divisors, whose sum is σ = 408974791680. Its totient is φ = 32068763136.

The previous prime is 122143242257. The next prime is 122143242323. The reversal of 122143242312 is 213242341221.

122143242312 is a `hidden beast` number, since 1 + 2 + 21 + 4 + 324 + 2 + 312 = 666.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1419298 + ... + 1502894.

It is an arithmetic number, because the mean of its divisors is an integer number (2130077040).

Almost surely, 2^122143242312 is an apocalyptic number.

122143242312 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 122143242312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204487395840).

122143242312 is an abundant number, since it is smaller than the sum of its proper divisors (286831549368).

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

122143242312 is a wasteful number, since it uses less digits than its factorization.

122143242312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83852 (or 83845 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 122143242312 its reverse (213242341221), we get a palindrome (335385583533).

The spelling of 122143242312 in words is "one hundred twenty-two billion, one hundred forty-three million, two hundred forty-two thousand, three hundred twelve".