12254400000 has 720 divisors, whose sum is σ = 47374655328. Its totient is φ = 3041280000.

The previous prime is 12254399987. The next prime is 12254400013. The reversal of 12254400000 is 445221.

12254400000 is a `hidden beast` number, since 1 + 225 + 440 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12254399987) and next prime (12254400013).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 331199982 + ... + 331200018.

Almost surely, 2^12254400000 is an apocalyptic number.

12254400000 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 12254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23687327664).

12254400000 is an abundant number, since it is smaller than the sum of its proper divisors (35120255328).

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

12254400000 is an frugal number, since it uses more digits than its factorization.

12254400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 12254400000 its reverse (445221), we get a palindrome (12254845221).

The spelling of 12254400000 in words is "twelve billion, two hundred fifty-four million, four hundred thousand".