12162830400 has 1008 divisors, whose sum is σ = 52966193280. Its totient is φ = 2687385600.

The previous prime is 12162830287. The next prime is 12162830423. The reversal of 12162830400 is 403826121.

12162830400 is a `hidden beast` number, since 1 + 2 + 1 + 628 + 30 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 111585546 + ... + 111585654.

Almost surely, 2^12162830400 is an apocalyptic number.

12162830400 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 12162830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26483096640).

12162830400 is an abundant number, since it is smaller than the sum of its proper divisors (40803362880).

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

12162830400 is a wasteful number, since it uses less digits than its factorization.

12162830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 12162830400 in words is "twelve billion, one hundred sixty-two million, eight hundred thirty thousand, four hundred".