12268800161310 has 256 divisors, whose sum is σ = 38416741171200. Its totient is φ = 2431528450560.

The previous prime is 12268800161291. The next prime is 12268800161311. The reversal of 12268800161310 is 1316100886221.

It is a super-2 number, since 2×12268800161310² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12268800161311) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 18211539 + ... + 18873201.

It is an arithmetic number, because the mean of its divisors is an integer number (150065395200).

Almost surely, 2^{12268800161310} is an apocalyptic number.

12268800161310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12268800161310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208370585600).

12268800161310 is an abundant number, since it is smaller than the sum of its proper divisors (26147941009890).

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

12268800161310 is a wasteful number, since it uses less digits than its factorization.

12268800161310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662063.

The product of its (nonzero) digits is 27648, while the sum is 39.

The spelling of 12268800161310 in words is "twelve trillion, two hundred sixty-eight billion, eight hundred million, one hundred sixty-one thousand, three hundred ten".