124442131042112 has 224 divisors, whose sum is σ = 274815949492224. Its totient is φ = 55536355123200.

The previous prime is 124442131042093. The next prime is 124442131042139. The reversal of 124442131042112 is 211240131244421.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 22745771537 + ... + 22745777007.

It is an arithmetic number, because the mean of its divisors is an integer number (1226856917376).

Almost surely, 2^{124442131042112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 124442131042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137407974746112).

124442131042112 is an abundant number, since it is smaller than the sum of its proper divisors (150373818450112).

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

124442131042112 is a wasteful number, since it uses less digits than its factorization.

124442131042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9977 (or 9967 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 124442131042112 its reverse (211240131244421), we get a palindrome (335682262286533).

The spelling of 124442131042112 in words is "one hundred twenty-four trillion, four hundred forty-two billion, one hundred thirty-one million, forty-two thousand, one hundred twelve".