22322112333001 has 12 divisors (see below), whose sum is σ = 25593121487772. Its totient is φ = 19392966368256.

The previous prime is 22322112332969. The next prime is 22322112333011. The reversal of 22322112333001 is 10033321122322.

It can be written as a sum of positive squares in 6 ways, for example, as 190685928976 + 22131426404025 = 436676^2 + 4704405^2 .

It is not a de Polignac number, because 22322112333001 - 2⁵ = 22322112332969 is a prime.

It is a super-3 number, since 3×22322112333001³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22322112333011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3884806096 + ... + 3884811841.

It is an arithmetic number, because the mean of its divisors is an integer number (2132760123981).

Almost surely, 2^{22322112333001} is an apocalyptic number.

It is an amenable number.

22322112333001 is a deficient number, since it is larger than the sum of its proper divisors (3271009154771).

22322112333001 is a wasteful number, since it uses less digits than its factorization.

22322112333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769617980 (or 7769617967 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 22322112333001 its reverse (10033321122322), we get a palindrome (32355433455323).

The spelling of 22322112333001 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred twelve million, three hundred thirty-three thousand, one".