122321210222133 has 24 divisors (see below), whose sum is σ = 190293796936152. Its totient is φ = 75268119287808.

The previous prime is 122321210222131. The next prime is 122321210222153. The reversal of 122321210222133 is 331222012123221.

122321210222133 is a `hidden beast` number, since 1 + 2 + 232 + 1 + 210 + 2 + 2 + 213 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27453649182129 + 94867561040004 = 5239623^2 + 9739998^2 .

It is not a de Polignac number, because 122321210222133 - 2¹ = 122321210222131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122321210222097 and 122321210222106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122321210222131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43574916 + ... + 46297037.

It is an arithmetic number, because the mean of its divisors is an integer number (7928908205673).

Almost surely, 2^{122321210222133} is an apocalyptic number.

122321210222133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122321210222133 is a deficient number, since it is larger than the sum of its proper divisors (67972586714019).

122321210222133 is a wasteful number, since it uses less digits than its factorization.

122321210222133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89883605 (or 89883602 counting only the distinct ones).

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

Adding to 122321210222133 its reverse (331222012123221), we get a palindrome (453543222345354).

The spelling of 122321210222133 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, two hundred ten million, two hundred twenty-two thousand, one hundred thirty-three".