12215015323040 has 96 divisors (see below), whose sum is σ = 30561995051280. Its totient is φ = 4597616738304.

The previous prime is 12215015323001. The next prime is 12215015323079. The reversal of 12215015323040 is 4032351051221.

It is an interprime number because it is at equal distance from previous prime (12215015323001) and next prime (12215015323079).

It can be written as a sum of positive squares in 8 ways, for example, as 2098824407824 + 10116190915216 = 1448732^2 + 3180596^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12215015322994 and 12215015323012.

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 15 ways as a sum of consecutive naturals, for example, 12388064 + ... + 13337696.

Almost surely, 2^{12215015323040} is an apocalyptic number.

12215015323040 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 12215015323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15280997525640).

12215015323040 is an abundant number, since it is smaller than the sum of its proper divisors (18346979728240).

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

12215015323040 is a wasteful number, since it uses less digits than its factorization.

12215015323040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954394 (or 954386 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 12215015323040 its reverse (4032351051221), we get a palindrome (16247366374261).

The spelling of 12215015323040 in words is "twelve trillion, two hundred fifteen billion, fifteen million, three hundred twenty-three thousand, forty".