1214334121 has 36 divisors (see below), whose sum is σ = 1668793104. Its totient is φ = 873381600.

The previous prime is 1214334113. The next prime is 1214334127.

1214334121 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1214334121 - 2³ = 1214334113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1214334092 and 1214334101.

It is not an unprimeable number, because it can be changed into a prime (1214334127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84426 + ... + 97756.

It is an arithmetic number, because the mean of its divisors is an integer number (46355364).

Almost surely, 2^1214334121 is an apocalyptic number.

1214334121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1214334121 is a deficient number, since it is larger than the sum of its proper divisors (454458983).

1214334121 is a wasteful number, since it uses less digits than its factorization.

1214334121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13382 (or 13362 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 1214334121 is about 34847.2971835693. The cubic root of 1214334121 is about 1066.8730206996.

It can be divided in two parts, 12143 and 34121, that added together give a palindrome (46264).

The spelling of 1214334121 in words is "one billion, two hundred fourteen million, three hundred thirty-four thousand, one hundred twenty-one".