122012000121 has 32 divisors (see below), whose sum is σ = 184653198720. Its totient is φ = 70983987200.

The previous prime is 122012000107. The next prime is 122012000147. The reversal of 122012000121 is 121000210221.

It is a cyclic number.

It is not a de Polignac number, because 122012000121 - 2¹⁸ = 122011737977 is a prime.

It is a super-3 number, since 3×122012000121³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122012000097 and 122012000106.

It is not an unprimeable number, because it can be changed into a prime (122012000021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202920 + ... + 534041.

It is an arithmetic number, because the mean of its divisors is an integer number (5770412460).

Almost surely, 2^122012000121 is an apocalyptic number.

122012000121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012000121 is a deficient number, since it is larger than the sum of its proper divisors (62641198599).

122012000121 is a wasteful number, since it uses less digits than its factorization.

122012000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737177.

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

Adding to 122012000121 its reverse (121000210221), we get a palindrome (243012210342).

The spelling of 122012000121 in words is "one hundred twenty-two billion, twelve million, one hundred twenty-one", and thus it is an aban number.