124132441231344 has 240 divisors, whose sum is σ = 396992509900800. Its totient is φ = 32726145014784.

The previous prime is 124132441231339. The next prime is 124132441231349. The reversal of 124132441231344 is 443132144231421.

It is an interprime number because it is at equal distance from previous prime (124132441231339) and next prime (124132441231349).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124132441231349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153993702 + ... + 154797690.

It is an arithmetic number, because the mean of its divisors is an integer number (1654135457920).

Almost surely, 2^{124132441231344} is an apocalyptic number.

124132441231344 is a gapful number since it is divisible by the number (14) 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 124132441231344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198496254950400).

124132441231344 is an abundant number, since it is smaller than the sum of its proper divisors (272860068669456).

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

124132441231344 is a wasteful number, since it uses less digits than its factorization.

124132441231344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806752 (or 806733 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 124132441231344 its reverse (443132144231421), we get a palindrome (567264585462765).

The spelling of 124132441231344 in words is "one hundred twenty-four trillion, one hundred thirty-two billion, four hundred forty-one million, two hundred thirty-one thousand, three hundred forty-four".