124641372672 has 320 divisors, whose sum is σ = 386988624000. Its totient is φ = 39555661824.

The previous prime is 124641372649. The next prime is 124641372673. The reversal of 124641372672 is 276273146421.

It is not an unprimeable number, because it can be changed into a prime (124641372673) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 29263279 + ... + 29267537.

It is an arithmetic number, because the mean of its divisors is an integer number (1209339450).

Almost surely, 2^124641372672 is an apocalyptic number.

124641372672 is a gapful number since it is divisible by the number (12) 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 124641372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193494312000).

124641372672 is an abundant number, since it is smaller than the sum of its proper divisors (262347251328).

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

124641372672 is an equidigital number, since it uses as much as digits as its factorization.

124641372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4388 (or 4366 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 124641372672 in words is "one hundred twenty-four billion, six hundred forty-one million, three hundred seventy-two thousand, six hundred seventy-two".