12414414012 has 288 divisors, whose sum is σ = 39845965824. Its totient is φ = 2957068800.

The previous prime is 12414413993. The next prime is 12414414037. The reversal of 12414414012 is 21041441421.

It is a super-2 number, since 2×12414414012² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16059658 + ... + 16060430.

It is an arithmetic number, because the mean of its divisors is an integer number (138354048).

Almost surely, 2^12414414012 is an apocalyptic number.

12414414012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414414012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922982912).

12414414012 is an abundant number, since it is smaller than the sum of its proper divisors (27431551812).

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

12414414012 is a wasteful number, since it uses less digits than its factorization.

12414414012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 12414414012 its reverse (21041441421), we get a palindrome (33455855433).

It can be divided in two parts, 12414 and 414012, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 12414414012 in words is "twelve billion, four hundred fourteen million, four hundred fourteen thousand, twelve".