12214794240 has 288 divisors, whose sum is σ = 46186686000. Its totient is φ = 2960916480.

The previous prime is 12214794217. The next prime is 12214794247. The reversal of 12214794240 is 4249741221.

It is a happy number.

12214794240 is a `hidden beast` number, since 1 + 221 + 4 + 7 + 9 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12214794195 and 12214794204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12214794247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1007736 + ... + 1019784.

Almost surely, 2^12214794240 is an apocalyptic number.

12214794240 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 12214794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23093343000).

12214794240 is an abundant number, since it is smaller than the sum of its proper divisors (33971891760).

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

12214794240 is a wasteful number, since it uses less digits than its factorization.

12214794240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12093 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 12214794240 in words is "twelve billion, two hundred fourteen million, seven hundred ninety-four thousand, two hundred forty".