124275431696640 has 1152 divisors, whose sum is σ = 494959185100800. Its totient is φ = 25932925992960.

The previous prime is 124275431696599. The next prime is 124275431696693. The reversal of 124275431696640 is 46696134572421.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 127 ways as a sum of consecutive naturals, for example, 3783908059 + ... + 3783940901.

It is an arithmetic number, because the mean of its divisors is an integer number (429652070400).

Almost surely, 2^{124275431696640} is an apocalyptic number.

124275431696640 is a gapful number since it is divisible by the number (10) 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 124275431696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247479592550400).

124275431696640 is an abundant number, since it is smaller than the sum of its proper divisors (370683753404160).

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

124275431696640 is a wasteful number, since it uses less digits than its factorization.

124275431696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33163 (or 33149 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 60.

The spelling of 124275431696640 in words is "one hundred twenty-four trillion, two hundred seventy-five billion, four hundred thirty-one million, six hundred ninety-six thousand, six hundred forty".