1212114112121 has 24 divisors (see below), whose sum is σ = 1379064577800. Its totient is φ = 1063308153600.

The previous prime is 1212114112093. The next prime is 1212114112141.

1212114112121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 30979872121 + 1181134240000 = 176011^2 + 1086800^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1212114112121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1212114112093 and 1212114112102.

It is not an unprimeable number, because it can be changed into a prime (1212114112141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6009965 + ... + 6208373.

It is an arithmetic number, because the mean of its divisors is an integer number (57461024075).

Almost surely, 2^{1212114112121} is an apocalyptic number.

1212114112121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1212114112121 is a deficient number, since it is larger than the sum of its proper divisors (166950465679).

1212114112121 is a wasteful number, since it uses less digits than its factorization.

1212114112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200201 (or 200190 counting only the distinct ones).

The product of its digits is 64, while the sum is 20.

The spelling of 1212114112121 in words is "one trillion, two hundred twelve billion, one hundred fourteen million, one hundred twelve thousand, one hundred twenty-one".