124636030249920 has 672 divisors, whose sum is σ = 465469354893312. Its totient is φ = 28171439235072.

The previous prime is 124636030249901. The next prime is 124636030249987. The reversal of 124636030249920 is 29942030636421.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1834008582 + ... + 1834076538.

It is an arithmetic number, because the mean of its divisors is an integer number (692662730496).

Almost surely, 2^{124636030249920} is an apocalyptic number.

124636030249920 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 124636030249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232734677446656).

124636030249920 is an abundant number, since it is smaller than the sum of its proper divisors (340833324643392).

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

124636030249920 is a wasteful number, since it uses less digits than its factorization.

124636030249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68425 (or 68408 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 124636030249920 in words is "one hundred twenty-four trillion, six hundred thirty-six billion, thirty million, two hundred forty-nine thousand, nine hundred twenty".