12415362303240 has 768 divisors, whose sum is σ = 45422484307200. Its totient is φ = 2921038848000.

The previous prime is 12415362303209. The next prime is 12415362303241. The reversal of 12415362303240 is 4230326351421.

12415362303240 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 5 + 3 + 623 + 0 + 3 + 24 + 0 = 666.

It is a super-2 number, since 2×12415362303240² (a number of 27 digits) contains 22 as substring.

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 = 12415362303195 and 12415362303204.

It is not an unprimeable number, because it can be changed into a prime (12415362303241) 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 191 ways as a sum of consecutive naturals, for example, 2291077251 + ... + 2291082669.

It is an arithmetic number, because the mean of its divisors is an integer number (59143859775).

Almost surely, 2^{12415362303240} is an apocalyptic number.

12415362303240 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 12415362303240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22711242153600).

12415362303240 is an abundant number, since it is smaller than the sum of its proper divisors (33007122003960).

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

12415362303240 is a wasteful number, since it uses less digits than its factorization.

12415362303240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 12415362303240 its reverse (4230326351421), we get a palindrome (16645688654661).

The spelling of 12415362303240 in words is "twelve trillion, four hundred fifteen billion, three hundred sixty-two million, three hundred three thousand, two hundred forty".