124380408841920 has 1792 divisors, whose sum is σ = 579595585536000. Its totient is φ = 24309970698240.

The previous prime is 124380408841901. The next prime is 124380408841921. The reversal of 124380408841920 is 29148804083421.

124380408841920 is a `hidden beast` number, since 1 + 2 + 43 + 8 + 0 + 408 + 8 + 4 + 192 + 0 = 666.

It is a super-2 number, since 2×124380408841920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (124380408841921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 30344084031 + ... + 30344088129.

Almost surely, 2^{124380408841920} is an apocalyptic number.

124380408841920 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 124380408841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289797792768000).

124380408841920 is an abundant number, since it is smaller than the sum of its proper divisors (455215176694080).

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

124380408841920 is a wasteful number, since it uses less digits than its factorization.

124380408841920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6843 (or 6827 counting only the distinct ones).

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

The spelling of 124380408841920 in words is "one hundred twenty-four trillion, three hundred eighty billion, four hundred eight million, eight hundred forty-one thousand, nine hundred twenty".