124778868480 has 648 divisors, whose sum is σ = 531789581232. Its totient is φ = 26841120768.

The previous prime is 124778868437. The next prime is 124778868593. The reversal of 124778868480 is 84868877421.

124778868480 is a `hidden beast` number, since 1 + 2 + 4 + 7 + 78 + 86 + 8 + 480 = 666.

It is a super-3 number, since 3×124778868480³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 9589659 + ... + 9602661.

It is an arithmetic number, because the mean of its divisors is an integer number (820662934).

Almost surely, 2^124778868480 is an apocalyptic number.

124778868480 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 124778868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265894790616).

124778868480 is an abundant number, since it is smaller than the sum of its proper divisors (407010712752).

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

124778868480 is a wasteful number, since it uses less digits than its factorization.

124778868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13061 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 38535168, while the sum is 63.

The spelling of 124778868480 in words is "one hundred twenty-four billion, seven hundred seventy-eight million, eight hundred sixty-eight thousand, four hundred eighty".