42120211224041 has 8 divisors (see below), whose sum is σ = 42127245606600. Its totient is φ = 42113177384320.

The previous prime is 42120211224031. The next prime is 42120211224067. The reversal of 42120211224041 is 14042211202124.

42120211224041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20595213858025 + 21524997366016 = 4538195^2 + 4639504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42120211224041 - 2¹⁰ = 42120211223017 is a prime.

It is a super-2 number, since 2×42120211224041² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42120211224041.

It is not an unprimeable number, because it can be changed into a prime (42120211224011) 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, 173063645 + ... + 173306853.

It is an arithmetic number, because the mean of its divisors is an integer number (5265905700825).

Almost surely, 2^{42120211224041} is an apocalyptic number.

It is an amenable number.

42120211224041 is a deficient number, since it is larger than the sum of its proper divisors (7034382559).

42120211224041 is a wasteful number, since it uses less digits than its factorization.

42120211224041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271419.

The product of its (nonzero) digits is 2048, while the sum is 26.

Adding to 42120211224041 its reverse (14042211202124), we get a palindrome (56162422426165).

The spelling of 42120211224041 in words is "forty-two trillion, one hundred twenty billion, two hundred eleven million, two hundred twenty-four thousand, forty-one".