222142105120033 has 16 divisors (see below), whose sum is σ = 255884567624064. Its totient is φ = 188907305045760.

The previous prime is 222142105119997. The next prime is 222142105120049. The reversal of 222142105120033 is 330021501241222.

It is a happy number.

It is not a de Polignac number, because 222142105120033 - 2³⁷ = 222004666166561 is a prime.

It is a super-2 number, since 2×222142105120033² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222142105119983 and 222142105120010.

It is not an unprimeable number, because it can be changed into a prime (222142105123033) 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 15 ways as a sum of consecutive naturals, for example, 236757160 + ... + 237693577.

It is an arithmetic number, because the mean of its divisors is an integer number (15992785476504).

Almost surely, 2^{222142105120033} is an apocalyptic number.

It is an amenable number.

222142105120033 is a deficient number, since it is larger than the sum of its proper divisors (33742462504031).

222142105120033 is a wasteful number, since it uses less digits than its factorization.

222142105120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474451272.

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 222142105120033 its reverse (330021501241222), we get a palindrome (552163606361255).

The spelling of 222142105120033 in words is "two hundred twenty-two trillion, one hundred forty-two billion, one hundred five million, one hundred twenty thousand, thirty-three".