12283143782400 has 912 divisors, whose sum is σ = 45739552853280. Its totient is φ = 3271682949120.

The previous prime is 12283143782359. The next prime is 12283143782449. The reversal of 12283143782400 is 428734138221.

12283143782400 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 31 + 4 + 378 + 240 + 0 = 666.

It is a super-2 number, since 2×12283143782400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14332722772 + ... + 14332723628.

Almost surely, 2^{12283143782400} is an apocalyptic number.

12283143782400 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 12283143782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869776426640).

12283143782400 is an abundant number, since it is smaller than the sum of its proper divisors (33456409070880).

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

12283143782400 is an frugal number, since it uses more digits than its factorization.

12283143782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 12283143782400 in words is "twelve trillion, two hundred eighty-three billion, one hundred forty-three million, seven hundred eighty-two thousand, four hundred".