12202212001001 has 24 divisors (see below), whose sum is σ = 13875370730760. Its totient is φ = 10709998548480.

The previous prime is 12202212000967. The next prime is 12202212001043. The reversal of 12202212001001 is 10010021220221.

It can be written as a sum of positive squares in 4 ways, for example, as 1333618470976 + 10868593530025 = 1154824^2 + 3296755^2 .

It is not a de Polignac number, because 12202212001001 - 2¹⁴ = 12202211984617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12202212001601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 127248065 + ... + 127343921.

It is an arithmetic number, because the mean of its divisors is an integer number (578140447115).

Almost surely, 2^{12202212001001} is an apocalyptic number.

12202212001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12202212001001 is a deficient number, since it is larger than the sum of its proper divisors (1673158729759).

12202212001001 is a wasteful number, since it uses less digits than its factorization.

12202212001001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132185 (or 132174 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 12202212001001 its reverse (10010021220221), we get a palindrome (22212233221222).

The spelling of 12202212001001 in words is "twelve trillion, two hundred two billion, two hundred twelve million, one thousand, one".