12293473856400 has 720 divisors, whose sum is σ = 48291889389120. Its totient is φ = 2868687360000.

The previous prime is 12293473856399. The next prime is 12293473856423. The reversal of 12293473856400 is 465837439221.

12293473856400 is a `hidden beast` number, since 1 + 2 + 2 + 9 + 3 + 4 + 73 + 8 + 564 + 0 + 0 = 666.

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

It is a super-2 number, since 2×12293473856400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 380104230 + ... + 380136570.

It is an arithmetic number, because the mean of its divisors is an integer number (67072068596).

It is a 1-persistent number, because it is pandigital, but 2⋅12293473856400 = 24586947712800 is not.

Almost surely, 2^{12293473856400} is an apocalyptic number.

12293473856400 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 12293473856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24145944694560).

12293473856400 is an abundant number, since it is smaller than the sum of its proper divisors (35998415532720).

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

12293473856400 is a wasteful number, since it uses less digits than its factorization.

12293473856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32736 (or 32722 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 12293473856400 in words is "twelve trillion, two hundred ninety-three billion, four hundred seventy-three million, eight hundred fifty-six thousand, four hundred".