12414222240 has 384 divisors, whose sum is σ = 46680012288. Its totient is φ = 2713927680.

The previous prime is 12414222173. The next prime is 12414222251. The reversal of 12414222240 is 4222241421.

It is a happy number.

It is a super-2 number, since 2×12414222240² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12414222240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7582702 + ... + 7584338.

It is an arithmetic number, because the mean of its divisors is an integer number (121562532).

Almost surely, 2^12414222240 is an apocalyptic number.

12414222240 is a gapful number since it is divisible by the number (10) 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 12414222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23340006144).

12414222240 is an abundant number, since it is smaller than the sum of its proper divisors (34265790048).

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

12414222240 is a wasteful number, since it uses less digits than its factorization.

12414222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 12414222240 its reverse (4222241421), we get a palindrome (16636463661).

The spelling of 12414222240 in words is "twelve billion, four hundred fourteen million, two hundred twenty-two thousand, two hundred forty".