12252175810560 has 2400 divisors, whose sum is σ = 53006868676608. Its totient is φ = 2648687247360.

The previous prime is 12252175810559. The next prime is 12252175810571. The reversal of 12252175810560 is 6501857125221.

It is a happy number.

12252175810560 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 2 + 1 + 7 + 5 + 81 + 0 + 560 = 666.

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

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, 96473825217 + ... + 96473825343.

Almost surely, 2^{12252175810560} is an apocalyptic number.

12252175810560 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 12252175810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26503434338304).

12252175810560 is an abundant number, since it is smaller than the sum of its proper divisors (40754692866048).

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

12252175810560 is an equidigital number, since it uses as much as digits as its factorization.

12252175810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 12252175810560 in words is "twelve trillion, two hundred fifty-two billion, one hundred seventy-five million, eight hundred ten thousand, five hundred sixty".