12274416000 has 1536 divisors, whose sum is σ = 58383037440. Its totient is φ = 2488320000.

The previous prime is 12274415983. The next prime is 12274416023. The reversal of 12274416000 is 61447221.

12274416000 is a `hidden beast` number, since 12 + 2 + 7 + 4 + 41 + 600 + 0 = 666.

12274416000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12274416000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 299375980 + ... + 299376020.

It is an arithmetic number, because the mean of its divisors is an integer number (38009790).

Almost surely, 2^12274416000 is an apocalyptic number.

12274416000 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 12274416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29191518720).

12274416000 is an abundant number, since it is smaller than the sum of its proper divisors (46108621440).

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

12274416000 is an equidigital number, since it uses as much as digits as its factorization.

12274416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 69 counting only the distinct ones).

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

The spelling of 12274416000 in words is "twelve billion, two hundred seventy-four million, four hundred sixteen thousand".