10024123120 has 160 divisors (see below), whose sum is σ = 26679435264. Its totient is φ = 3467059200.

The previous prime is 10024123091. The next prime is 10024123127. The reversal of 10024123120 is 2132142001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10024123094 and 10024123103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024123127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3864544 + ... + 3867136.

Almost surely, 2^10024123120 is an apocalyptic number.

10024123120 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 10024123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13339717632).

10024123120 is an abundant number, since it is smaller than the sum of its proper divisors (16655312144).

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

10024123120 is a wasteful number, since it uses less digits than its factorization.

10024123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10024123120 its reverse (2132142001), we get a palindrome (12156265121).

The spelling of 10024123120 in words is "ten billion, twenty-four million, one hundred twenty-three thousand, one hundred twenty".