124908349104 has 960 divisors, whose sum is σ = 478924013568. Its totient is φ = 30569011200.

The previous prime is 124908349087. The next prime is 124908349129. The reversal of 124908349104 is 401943809421.

124908349104 is a `hidden beast` number, since 12 + 490 + 8 + 3 + 49 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 124908349104.

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 191 ways as a sum of consecutive naturals, for example, 399068052 + ... + 399068364.

Almost surely, 2^124908349104 is an apocalyptic number.

124908349104 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 124908349104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239462006784).

124908349104 is an abundant number, since it is smaller than the sum of its proper divisors (354015664464).

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

124908349104 is a wasteful number, since it uses less digits than its factorization.

124908349104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 124908349104 in words is "one hundred twenty-four billion, nine hundred eight million, three hundred forty-nine thousand, one hundred four".