12274400160 has 288 divisors, whose sum is σ = 45798322752. Its totient is φ = 2968842240.

The previous prime is 12274400153. The next prime is 12274400167. The reversal of 12274400160 is 6100447221.

It is an interprime number because it is at equal distance from previous prime (12274400153) and next prime (12274400167).

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

It is not an unprimeable number, because it can be changed into a prime (12274400167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13099212 + ... + 13100148.

It is an arithmetic number, because the mean of its divisors is an integer number (159021954).

Almost surely, 2^12274400160 is an apocalyptic number.

12274400160 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 12274400160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899161376).

12274400160 is an abundant number, since it is smaller than the sum of its proper divisors (33523922592).

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

12274400160 is a wasteful number, since it uses less digits than its factorization.

12274400160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 12274400160 its reverse (6100447221), we get a palindrome (18374847381).

The spelling of 12274400160 in words is "twelve billion, two hundred seventy-four million, four hundred thousand, one hundred sixty".