10120442024 has 64 divisors (see below), whose sum is σ = 23713689600. Its totient is φ = 3933777600.

The previous prime is 10120442021. The next prime is 10120442029. The reversal of 10120442024 is 42024402101.

It is a super-2 number, since 2×10120442024² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120441987 and 10120442005.

It is not an unprimeable number, because it can be changed into a prime (10120442021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 246437 + ... + 284555.

It is an arithmetic number, because the mean of its divisors is an integer number (370526400).

Almost surely, 2^10120442024 is an apocalyptic number.

10120442024 is a gapful number since it is divisible by the number (14) 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 10120442024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11856844800).

10120442024 is an abundant number, since it is smaller than the sum of its proper divisors (13593247576).

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

10120442024 is a wasteful number, since it uses less digits than its factorization.

10120442024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38574 (or 38570 counting only the distinct ones).

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

Adding to 10120442024 its reverse (42024402101), we get a palindrome (52144844125).

The spelling of 10120442024 in words is "ten billion, one hundred twenty million, four hundred forty-two thousand, twenty-four".