122300112001 has 8 divisors (see below), whose sum is σ = 125287874208. Its totient is φ = 119312580000.

The previous prime is 122300111977. The next prime is 122300112023. The reversal of 122300112001 is 100211003221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122300112001 - 2¹⁵ = 122300079233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122330112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1579686 + ... + 1655296.

It is an arithmetic number, because the mean of its divisors is an integer number (15660984276).

Almost surely, 2^122300112001 is an apocalyptic number.

It is an amenable number.

122300112001 is a deficient number, since it is larger than the sum of its proper divisors (2987762207).

122300112001 is an equidigital number, since it uses as much as digits as its factorization.

122300112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115103.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 122300112001 its reverse (100211003221), we get a palindrome (222511115222).

The spelling of 122300112001 in words is "one hundred twenty-two billion, three hundred million, one hundred twelve thousand, one".