124749046080 has 784 divisors, whose sum is σ = 465238947600. Its totient is φ = 31818645504.

The previous prime is 124749046021. The next prime is 124749046099. The reversal of 124749046080 is 80640947421.

124749046080 is a `hidden beast` number, since 1 + 2 + 47 + 490 + 46 + 0 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 940771584 + 123808274496 = 30672^2 + 351864^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 837241846 + ... + 837241994.

It is an arithmetic number, because the mean of its divisors is an integer number (593417025).

Almost surely, 2^124749046080 is an apocalyptic number.

124749046080 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 124749046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232619473800).

124749046080 is an abundant number, since it is smaller than the sum of its proper divisors (340489901520).

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

124749046080 is an equidigital number, since it uses as much as digits as its factorization.

124749046080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 124749046080 in words is "one hundred twenty-four billion, seven hundred forty-nine million, forty-six thousand, eighty".