122112211012001 has 8 divisors (see below), whose sum is σ = 140493435489600. Its totient is φ = 103965142260528.

The previous prime is 122112211011991. The next prime is 122112211012073. The reversal of 122112211012001 is 100210112211221.

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 122112211012001 - 2³⁴ = 122095031142817 is a prime.

It is a super-2 number, since 2×122112211012001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (122112291012001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58538930411 + ... + 58538932496.

It is an arithmetic number, because the mean of its divisors is an integer number (17561679436200).

Almost surely, 2^{122112211012001} is an apocalyptic number.

It is an amenable number.

122112211012001 is a deficient number, since it is larger than the sum of its proper divisors (18381224477599).

122112211012001 is a wasteful number, since it uses less digits than its factorization.

122112211012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117077863063.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122112211012001 its reverse (100210112211221), we get a palindrome (222322323223222).

The spelling of 122112211012001 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred eleven million, twelve thousand, one".