124080638688 has 288 divisors, whose sum is σ = 369303846912. Its totient is φ = 39473740800.

The previous prime is 124080638611. The next prime is 124080638701. The reversal of 124080638688 is 886836080421.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×124080638688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 323970145 + ... + 323970527.

It is an arithmetic number, because the mean of its divisors is an integer number (1282305024).

Almost surely, 2^124080638688 is an apocalyptic number.

124080638688 is a gapful number since it is divisible by the number (18) 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 124080638688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184651923456).

124080638688 is an abundant number, since it is smaller than the sum of its proper divisors (245223208224).

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

124080638688 is a wasteful number, since it uses less digits than its factorization.

124080638688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 124080638688 in words is "one hundred twenty-four billion, eighty million, six hundred thirty-eight thousand, six hundred eighty-eight".