124093956096 has 512 divisors, whose sum is σ = 412209907200. Its totient is φ = 36569088000.

The previous prime is 124093956083. The next prime is 124093956127. The reversal of 124093956096 is 690659390421.

124093956096 is a `hidden beast` number, since 1 + 2 + 40 + 9 + 39 + 560 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×124093956096² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399015781 + ... + 399016091.

It is an arithmetic number, because the mean of its divisors is an integer number (805097475).

Almost surely, 2^124093956096 is an apocalyptic number.

124093956096 is a gapful number since it is divisible by the number (16) 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 124093956096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206104953600).

124093956096 is an abundant number, since it is smaller than the sum of its proper divisors (288115951104).

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

124093956096 is an equidigital number, since it uses as much as digits as its factorization.

124093956096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 124093956096 in words is "one hundred twenty-four billion, ninety-three million, nine hundred fifty-six thousand, ninety-six".