122012000000121 has 96 divisors (see below), whose sum is σ = 208956980994048. Its totient is φ = 62612420895360.

The previous prime is 122012000000071. The next prime is 122012000000131. The reversal of 122012000000121 is 121000000210221.

It is not a de Polignac number, because 122012000000121 - 2⁹ = 122011999999609 is a prime.

It is a super-3 number, since 3×122012000000121³ (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122012000000097 and 122012000000106.

It is not an unprimeable number, because it can be changed into a prime (122012000000131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1382731815 + ... + 1382820051.

It is an arithmetic number, because the mean of its divisors is an integer number (2176635218688).

Almost surely, 2^{122012000000121} is an apocalyptic number.

122012000000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012000000121 is a deficient number, since it is larger than the sum of its proper divisors (86944980993927).

122012000000121 is a wasteful number, since it uses less digits than its factorization.

122012000000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98651 (or 98644 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122012000000121 its reverse (121000000210221), we get a palindrome (243012000210342).

The spelling of 122012000000121 in words is "one hundred twenty-two trillion, twelve billion, one hundred twenty-one", and thus it is an aban number.