122112221112001 has 8 divisors (see below), whose sum is σ = 123077465800704. Its totient is φ = 121147034722560.

The previous prime is 122112221111999. The next prime is 122112221112017. The reversal of 122112221112001 is 100211122211221.

It is a happy number.

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 122112221112001 - 2¹ = 122112221111999 is a prime.

It is a super-2 number, since 2×122112221112001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122112221112001.

It is not an unprimeable number, because it can be changed into a prime (122112221112061) 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 7 ways as a sum of consecutive naturals, for example, 10364320 + ... + 18752161.

It is an arithmetic number, because the mean of its divisors is an integer number (15384683225088).

Almost surely, 2^{122112221112001} is an apocalyptic number.

It is an amenable number.

122112221112001 is a deficient number, since it is larger than the sum of its proper divisors (965244688703).

122112221112001 is a wasteful number, since it uses less digits than its factorization.

122112221112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29149631.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122112221112001 its reverse (100211122211221), we get a palindrome (222323343323222).

The spelling of 122112221112001 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred twelve thousand, one".