124054779985920 has 2560 divisors, whose sum is σ = 535753709568000. Its totient is φ = 26635508121600.

The previous prime is 124054779985891. The next prime is 124054779985949. The reversal of 124054779985920 is 29589977450421.

It is a happy number.

124054779985920 is a `hidden beast` number, since 1 + 2 + 4 + 0 + 547 + 7 + 9 + 9 + 8 + 59 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (124054779985891) and next prime (124054779985949).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 629719695262 + ... + 629719695458.

It is an arithmetic number, because the mean of its divisors is an integer number (209278792800).

Almost surely, 2^{124054779985920} is an apocalyptic number.

124054779985920 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 124054779985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267876854784000).

124054779985920 is an abundant number, since it is smaller than the sum of its proper divisors (411698929582080).

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

124054779985920 is an frugal number, since it uses more digits than its factorization.

124054779985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 124054779985920 in words is "one hundred twenty-four trillion, fifty-four billion, seven hundred seventy-nine million, nine hundred eighty-five thousand, nine hundred twenty".