122113322001 has 24 divisors (see below), whose sum is σ = 192506225184. Its totient is φ = 73975292160.

The previous prime is 122113321949. The next prime is 122113322027. The reversal of 122113322001 is 100223311221.

122113322001 is a `hidden beast` number, since 122 + 11 + 332 + 200 + 1 = 666.

It is not a de Polignac number, because 122113322001 - 2⁶ = 122113321937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122113322801) 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, 47616 + ... + 496481.

It is an arithmetic number, because the mean of its divisors is an integer number (8021092716).

Almost surely, 2^122113322001 is an apocalyptic number.

122113322001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122113322001 is a deficient number, since it is larger than the sum of its proper divisors (70392903183).

122113322001 is a wasteful number, since it uses less digits than its factorization.

122113322001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546381 (or 546378 counting only the distinct ones).

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

Adding to 122113322001 its reverse (100223311221), we get a palindrome (222336633222).

The spelling of 122113322001 in words is "one hundred twenty-two billion, one hundred thirteen million, three hundred twenty-two thousand, one".