2012122133001 has 8 divisors (see below), whose sum is σ = 2980921678560. Its totient is φ = 1341414755316.

The previous prime is 2012122132963. The next prime is 2012122133051. The reversal of 2012122133001 is 1003312212102.

2012122133001 is a `hidden beast` number, since 20 + 121 + 221 + 3 + 300 + 1 = 666.

It is not a de Polignac number, because 2012122133001 - 2¹³ = 2012122124809 is a prime.

It is a super-2 number, since 2×2012122133001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012122133051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37261520955 + ... + 37261521008.

It is an arithmetic number, because the mean of its divisors is an integer number (372615209820).

Almost surely, 2^{2012122133001} is an apocalyptic number.

It is an amenable number.

2012122133001 is a deficient number, since it is larger than the sum of its proper divisors (968799545559).

2012122133001 is an equidigital number, since it uses as much as digits as its factorization.

2012122133001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74523041972 (or 74523041966 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2012122133001 its reverse (1003312212102), we get a palindrome (3015434345103).

The spelling of 2012122133001 in words is "two trillion, twelve billion, one hundred twenty-two million, one hundred thirty-three thousand, one".