122112121200001 has 8 divisors (see below), whose sum is σ = 126461812193024. Its totient is φ = 117788092101360.

The previous prime is 122112121199993. The next prime is 122112121200007. The reversal of 122112121200001 is 100002121211221.

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 122112121200001 - 2³ = 122112121199993 is a prime.

It is a super-3 number, since 3×122112121200001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112121200007) 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, 6415463910 + ... + 6415482943.

It is an arithmetic number, because the mean of its divisors is an integer number (15807726524128).

Almost surely, 2^{122112121200001} is an apocalyptic number.

It is an amenable number.

122112121200001 is a deficient number, since it is larger than the sum of its proper divisors (4349690993023).

122112121200001 is a wasteful number, since it uses less digits than its factorization.

122112121200001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830947191.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122112121200001 its reverse (100002121211221), we get a palindrome (222114242411222).

The spelling of 122112121200001 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty-one million, two hundred thousand, one".