12303571400640 has 336 divisors, whose sum is σ = 45651415537728. Its totient is φ = 3023458762752.

The previous prime is 12303571400623. The next prime is 12303571400647. The reversal of 12303571400640 is 4600417530321.

12303571400640 is a `hidden beast` number, since 1 + 2 + 3 + 0 + 3 + 5 + 7 + 1 + 4 + 0 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12303571400595 and 12303571400604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12303571400647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21924837 + ... + 22479003.

It is an arithmetic number, because the mean of its divisors is an integer number (135867308148).

Almost surely, 2^{12303571400640} is an apocalyptic number.

12303571400640 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 12303571400640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22825707768864).

12303571400640 is an abundant number, since it is smaller than the sum of its proper divisors (33347844137088).

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

12303571400640 is a wasteful number, since it uses less digits than its factorization.

12303571400640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554796 (or 554783 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 12303571400640 its reverse (4600417530321), we get a palindrome (16903988930961).

The spelling of 12303571400640 in words is "twelve trillion, three hundred three billion, five hundred seventy-one million, four hundred thousand, six hundred forty".