124142008096 has 96 divisors (see below), whose sum is σ = 260395188480. Its totient is φ = 58172774400.

The previous prime is 124142008079. The next prime is 124142008121. The reversal of 124142008096 is 690800241421.

It is a super-2 number, since 2×124142008096² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

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 15 ways as a sum of consecutive naturals, for example, 3818791 + ... + 3851161.

It is an arithmetic number, because the mean of its divisors is an integer number (2712449880).

Almost surely, 2^124142008096 is an apocalyptic number.

124142008096 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 124142008096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130197594240).

124142008096 is an abundant number, since it is smaller than the sum of its proper divisors (136253180384).

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

124142008096 is a wasteful number, since it uses less digits than its factorization.

124142008096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32538 (or 32530 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 124142008096 in words is "one hundred twenty-four billion, one hundred forty-two million, eight thousand, ninety-six".