10024442120 has 64 divisors (see below), whose sum is σ = 28120521600. Its totient is φ = 3124500480.

The previous prime is 10024442063. The next prime is 10024442147. The reversal of 10024442120 is 2124442001.

It is a super-4 number, since 4×10024442120⁴ (a number of 41 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10024442092 and 10024442101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624265 + ... + 1630424.

It is an arithmetic number, because the mean of its divisors is an integer number (439383150).

Almost surely, 2^10024442120 is an apocalyptic number.

10024442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024442120 is an abundant number, since it is smaller than the sum of its proper divisors (18096079480).

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

10024442120 is a wasteful number, since it uses less digits than its factorization.

10024442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3254718 (or 3254714 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 10024442120 its reverse (2124442001), we get a palindrome (12148884121).

The spelling of 10024442120 in words is "ten billion, twenty-four million, four hundred forty-two thousand, one hundred twenty".