12414002412 has 288 divisors, whose sum is σ = 37879591680. Its totient is φ = 3135283200.

The previous prime is 12414002411. The next prime is 12414002441. The reversal of 12414002412 is 21420041421.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12414002411) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30957412 + ... + 30957812.

It is an arithmetic number, because the mean of its divisors is an integer number (131526360).

Almost surely, 2^12414002412 is an apocalyptic number.

12414002412 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 12414002412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18939795840).

12414002412 is an abundant number, since it is smaller than the sum of its proper divisors (25465589268).

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

12414002412 is a wasteful number, since it uses less digits than its factorization.

12414002412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 12414002412 its reverse (21420041421), we get a palindrome (33834043833).

The spelling of 12414002412 in words is "twelve billion, four hundred fourteen million, two thousand, four hundred twelve".