10124402143520 has 384 divisors, whose sum is σ = 28173341306880. Its totient is φ = 3366139392000.

The previous prime is 10124402143507. The next prime is 10124402143543. The reversal of 10124402143520 is 2534120442101.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 4339648274 + ... + 4339650606.

It is an arithmetic number, because the mean of its divisors is an integer number (73368076320).

Almost surely, 2^{10124402143520} is an apocalyptic number.

10124402143520 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 10124402143520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086670653440).

10124402143520 is an abundant number, since it is smaller than the sum of its proper divisors (18048939163360).

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

10124402143520 is a wasteful number, since it uses less digits than its factorization.

10124402143520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008 (or 3000 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

Adding to 10124402143520 its reverse (2534120442101), we get a palindrome (12658522585621).

The spelling of 10124402143520 in words is "ten trillion, one hundred twenty-four billion, four hundred two million, one hundred forty-three thousand, five hundred twenty".