124242612480 has 1152 divisors, whose sum is σ = 527450112000. Its totient is φ = 27669454848.

The previous prime is 124242612467. The next prime is 124242612497. The reversal of 124242612480 is 84216242421.

124242612480 is a `hidden beast` number, since 12 + 4 + 24 + 2 + 612 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 557141649 + ... + 557141871.

It is an arithmetic number, because the mean of its divisors is an integer number (457856000).

Almost surely, 2^124242612480 is an apocalyptic number.

124242612480 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 124242612480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263725056000).

124242612480 is an abundant number, since it is smaller than the sum of its proper divisors (403207499520).

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

124242612480 is an equidigital number, since it uses as much as digits as its factorization.

124242612480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 124242612480 in words is "one hundred twenty-four billion, two hundred forty-two million, six hundred twelve thousand, four hundred eighty".