122112121001 has 24 divisors (see below), whose sum is σ = 133690371840. Its totient is φ = 111474792000.

The previous prime is 122112120983. The next prime is 122112121037. The reversal of 122112121001 is 100121211221.

It is not a de Polignac number, because 122112121001 - 2⁶ = 122112120937 is a prime.

It is a super-2 number, since 2×122112121001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122112121091) 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 23 ways as a sum of consecutive naturals, for example, 16911770 + ... + 16918988.

It is an arithmetic number, because the mean of its divisors is an integer number (5570432160).

Almost surely, 2^122112121001 is an apocalyptic number.

It is an amenable number.

122112121001 is a deficient number, since it is larger than the sum of its proper divisors (11578250839).

122112121001 is a wasteful number, since it uses less digits than its factorization.

122112121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8337 (or 8324 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122112121001 its reverse (100121211221), we get a palindrome (222233332222).

The spelling of 122112121001 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred twenty-one thousand, one".