124941788928 has 864 divisors, whose sum is σ = 431483494400. Its totient is φ = 35582976000.

The previous prime is 124941788927. The next prime is 124941788947. The reversal of 124941788928 is 829887149421.

124941788928 is a `hidden beast` number, since 12 + 49 + 417 + 88 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×124941788928² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124941788927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1581541593 + ... + 1581541671.

Almost surely, 2^124941788928 is an apocalyptic number.

124941788928 is a gapful number since it is divisible by the number (18) 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 124941788928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215741747200).

124941788928 is an abundant number, since it is smaller than the sum of its proper divisors (306541705472).

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

124941788928 is a wasteful number, since it uses less digits than its factorization.

124941788928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 187 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 63.

The spelling of 124941788928 in words is "one hundred twenty-four billion, nine hundred forty-one million, seven hundred eighty-eight thousand, nine hundred twenty-eight".