12114242010 has 128 divisors (see below), whose sum is σ = 35530306560. Its totient is φ = 2918481408.

The previous prime is 12114241967. The next prime is 12114242011. The reversal of 12114242010 is 1024241121.

12114242010 is a `hidden beast` number, since 1 + 211 + 424 + 20 + 10 = 666.

It is a super-3 number, since 3×12114242010³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12114242011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128254 + ... + 201686.

It is an arithmetic number, because the mean of its divisors is an integer number (277580520).

Almost surely, 2^12114242010 is an apocalyptic number.

12114242010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12114242010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17765153280).

12114242010 is an abundant number, since it is smaller than the sum of its proper divisors (23416064550).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12114242010 is a wasteful number, since it uses less digits than its factorization.

12114242010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73509 (or 73503 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12114242010 its reverse (1024241121), we get a palindrome (13138483131).

The spelling of 12114242010 in words is "twelve billion, one hundred fourteen million, two hundred forty-two thousand, ten".