122112120000001 has 16 divisors (see below), whose sum is σ = 129318568698960. Its totient is φ = 114908271575040.

The previous prime is 122112119999999. The next prime is 122112120000011. The reversal of 122112120000001 is 100000021211221.

It can be written as a sum of positive squares in 8 ways, for example, as 196624843776 + 121915495156225 = 443424^2 + 11041535^2 .

It is a cyclic number.

It is not a de Polignac number, because 122112120000001 - 2¹ = 122112119999999 is a prime.

It is a super-2 number, since 2×122112120000001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112120000011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3009372225 + ... + 3009412801.

It is an arithmetic number, because the mean of its divisors is an integer number (8082410543685).

Almost surely, 2^{122112120000001} is an apocalyptic number.

It is an amenable number.

122112120000001 is a deficient number, since it is larger than the sum of its proper divisors (7206448698959).

122112120000001 is a wasteful number, since it uses less digits than its factorization.

122112120000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68244.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122112120000001 its reverse (100000021211221), we get a palindrome (222112141211222).

The spelling of 122112120000001 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty million, one", and thus it is an aban number.