12252161326560 has 96 divisors (see below), whose sum is σ = 38809919111040. Its totient is φ = 3248990243328.

The previous prime is 12252161326549. The next prime is 12252161326609. The reversal of 12252161326560 is 6562316125221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12252161326560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71213902 + ... + 71385741.

It is an arithmetic number, because the mean of its divisors is an integer number (404269990740).

Almost surely, 2^{12252161326560} is an apocalyptic number.

12252161326560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12252161326560 is an abundant number, since it is smaller than the sum of its proper divisors (26557757784480).

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

12252161326560 is a wasteful number, since it uses less digits than its factorization.

12252161326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142599840 (or 142599832 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 12252161326560 in words is "twelve trillion, two hundred fifty-two billion, one hundred sixty-one million, three hundred twenty-six thousand, five hundred sixty".