12260163324240 has 800 divisors, whose sum is σ = 48720594494880. Its totient is φ = 2835048480768.

The previous prime is 12260163324217. The next prime is 12260163324251. The reversal of 12260163324240 is 4242336106221.

12260163324240 is a `hidden beast` number, since 1 + 2 + 2 + 601 + 6 + 3 + 3 + 2 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 232223754816 + 12027939569424 = 481896^2 + 3468132^2 .

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 = 12260163324195 and 12260163324204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 90321702 + ... + 90457338.

Almost surely, 2^{12260163324240} is an apocalyptic number.

12260163324240 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 12260163324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24360297247440).

12260163324240 is an abundant number, since it is smaller than the sum of its proper divisors (36460431170640).

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

12260163324240 is a wasteful number, since it uses less digits than its factorization.

12260163324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135741 (or 135726 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 12260163324240 in words is "twelve trillion, two hundred sixty billion, one hundred sixty-three million, three hundred twenty-four thousand, two hundred forty".