12315045335040 has 624 divisors, whose sum is σ = 49217389872768. Its totient is φ = 2789924143104.

The previous prime is 12315045335003. The next prime is 12315045335053. The reversal of 12315045335040 is 4053354051321.

12315045335040 is a `hidden beast` number, since 1 + 2 + 3 + 150 + 453 + 3 + 50 + 4 + 0 = 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 = 12315045334986 and 12315045335004.

It is an unprimeable number.

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, 145754887 + ... + 145839353.

It is an arithmetic number, because the mean of its divisors is an integer number (78874022232).

Almost surely, 2^{12315045335040} is an apocalyptic number.

12315045335040 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 12315045335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24608694936384).

12315045335040 is an abundant number, since it is smaller than the sum of its proper divisors (36902344537728).

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

12315045335040 is a wasteful number, since it uses less digits than its factorization.

12315045335040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84622 (or 84597 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 12315045335040 its reverse (4053354051321), we get a palindrome (16368399386361).

The spelling of 12315045335040 in words is "twelve trillion, three hundred fifteen billion, forty-five million, three hundred thirty-five thousand, forty".