42202122120224 has 48 divisors (see below), whose sum is σ = 90748781282880. Its totient is φ = 19159474287360.

The previous prime is 42202122120203. The next prime is 42202122120227.

42202122120224 is nontrivially palindromic in base 10.

42202122120224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42202122120224² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42202122120193 and 42202122120202.

It is not an unprimeable number, because it can be changed into a prime (42202122120227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72548939 + ... + 73128330.

It is an arithmetic number, because the mean of its divisors is an integer number (1890599610060).

Almost surely, 2^{42202122120224} is an apocalyptic number.

42202122120224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42202122120224 is an abundant number, since it is smaller than the sum of its proper divisors (48546659162656).

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

42202122120224 is a wasteful number, since it uses less digits than its factorization.

42202122120224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145678113 (or 145678105 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 4220212 and 2120224, that added together give a palindrome (6340436).

The spelling of 42202122120224 in words is "forty-two trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred twenty-four".