12230361538560 has 1344 divisors, whose sum is σ = 50792240588544. Its totient is φ = 2790103449600.

The previous prime is 12230361538559. The next prime is 12230361538567. The reversal of 12230361538560 is 6583516303221.

12230361538560 is a `hidden beast` number, since 1 + 2 + 2 + 3 + 0 + 3 + 61 + 538 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12230361538567) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1861260075 + ... + 1861266645.

It is an arithmetic number, because the mean of its divisors is an integer number (37791845676).

Almost surely, 2^{12230361538560} is an apocalyptic number.

12230361538560 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 12230361538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25396120294272).

12230361538560 is an abundant number, since it is smaller than the sum of its proper divisors (38561879049984).

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

12230361538560 is an equidigital number, since it uses as much as digits as its factorization.

12230361538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6609 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 12230361538560 in words is "twelve trillion, two hundred thirty billion, three hundred sixty-one million, five hundred thirty-eight thousand, five hundred sixty".