12242580840 has 512 divisors, whose sum is σ = 50803200000. Its totient is φ = 2558739456.

The previous prime is 12242580839. The next prime is 12242580841. The reversal of 12242580840 is 4808524221.

12242580840 is a `hidden beast` number, since 12 + 24 + 2 + 580 + 8 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (12242580839) and next prime (12242580841).

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 = 12242580795 and 12242580804.

It is not an unprimeable number, because it can be changed into a prime (12242580841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4164091 + ... + 4167029.

It is an arithmetic number, because the mean of its divisors is an integer number (99225000).

Almost surely, 2^12242580840 is an apocalyptic number.

12242580840 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 12242580840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600000).

12242580840 is an abundant number, since it is smaller than the sum of its proper divisors (38560619160).

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

12242580840 is a wasteful number, since it uses less digits than its factorization.

12242580840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 12242580840 in words is "twelve billion, two hundred forty-two million, five hundred eighty thousand, eight hundred forty".