10042224424120 has 64 divisors (see below), whose sum is σ = 25933690710720. Its totient is φ = 3428271320064.

The previous prime is 10042224424097. The next prime is 10042224424139. The reversal of 10042224424120 is 2142442224001.

It is a happy number.

It is a super-3 number, since 3×10042224424120³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 76898467 + ... + 77028946.

It is an arithmetic number, because the mean of its divisors is an integer number (405213917355).

Almost surely, 2^{10042224424120} is an apocalyptic number.

10042224424120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042224424120 is an abundant number, since it is smaller than the sum of its proper divisors (15891466286600).

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

10042224424120 is a wasteful number, since it uses less digits than its factorization.

10042224424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153927664 (or 153927660 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 10042224424120 its reverse (2142442224001), we get a palindrome (12184666648121).

The spelling of 10042224424120 in words is "ten trillion, forty-two billion, two hundred twenty-four million, four hundred twenty-four thousand, one hundred twenty".