12348057600 has 432 divisors, whose sum is σ = 44782133760. Its totient is φ = 3251404800.

The previous prime is 12348057599. The next prime is 12348057613. The reversal of 12348057600 is 675084321.

12348057600 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 80 + 576 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58521495 + ... + 58521705.

Almost surely, 2^12348057600 is an apocalyptic number.

12348057600 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 12348057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22391066880).

12348057600 is an abundant number, since it is smaller than the sum of its proper divisors (32434076160).

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

12348057600 is a wasteful number, since it uses less digits than its factorization.

12348057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12348057600 in words is "twelve billion, three hundred forty-eight million, fifty-seven thousand, six hundred".