12260557440 has 256 divisors, whose sum is σ = 43748208000. Its totient is φ = 3244990464.

The previous prime is 12260557373. The next prime is 12260557457. The reversal of 12260557440 is 4475506221.

It is a happy number.

12260557440 is a `hidden beast` number, since 1 + 2 + 2 + 60 + 557 + 4 + 40 = 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 = 12260557395 and 12260557404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2364771 + ... + 2369949.

Almost surely, 2^12260557440 is an apocalyptic number.

12260557440 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 12260557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21874104000).

12260557440 is an abundant number, since it is smaller than the sum of its proper divisors (31487650560).

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

12260557440 is a wasteful number, since it uses less digits than its factorization.

12260557440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5344 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 12260557440 in words is "twelve billion, two hundred sixty million, five hundred fifty-seven thousand, four hundred forty".