10124220024 has 128 divisors (see below), whose sum is σ = 28398988800. Its totient is φ = 3341779200.

The previous prime is 10124219999. The next prime is 10124220037. The reversal of 10124220024 is 42002242101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10124219979 and 10124220006.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 16845324 + ... + 16845924.

It is an arithmetic number, because the mean of its divisors is an integer number (221867100).

Almost surely, 2^10124220024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10124220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14199494400).

10124220024 is an abundant number, since it is smaller than the sum of its proper divisors (18274768776).

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

10124220024 is a wasteful number, since it uses less digits than its factorization.

10124220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10124220024 its reverse (42002242101), we get a palindrome (52126462125).

The spelling of 10124220024 in words is "ten billion, one hundred twenty-four million, two hundred twenty thousand, twenty-four".