312122221202133 has 48 divisors (see below), whose sum is σ = 478488903235200. Its totient is φ = 195379718768640.

The previous prime is 312122221202063. The next prime is 312122221202137. The reversal of 312122221202133 is 331202122221213.

312122221202133 is a `hidden beast` number, since 3 + 1 + 212 + 22 + 212 + 0 + 213 + 3 = 666.

It is not a de Polignac number, because 312122221202133 - 2¹⁷ = 312122221071061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 312122221202097 and 312122221202106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312122221202137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 873596898 + ... + 873954108.

It is an arithmetic number, because the mean of its divisors is an integer number (9968518817400).

Almost surely, 2^{312122221202133} is an apocalyptic number.

It is an amenable number.

312122221202133 is a deficient number, since it is larger than the sum of its proper divisors (166366682033067).

312122221202133 is a wasteful number, since it uses less digits than its factorization.

312122221202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370682 (or 370679 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312122221202133 its reverse (331202122221213), we get a palindrome (643324343423346).

The spelling of 312122221202133 in words is "three hundred twelve trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred two thousand, one hundred thirty-three".