12262005068352 has 672 divisors, whose sum is σ = 38272728453120. Its totient is φ = 3449995960320.

The previous prime is 12262005068351. The next prime is 12262005068399. The reversal of 12262005068352 is 25386050026221.

It is not an unprimeable number, because it can be changed into a prime (12262005068351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11218668318 + ... + 11218669410.

It is an arithmetic number, because the mean of its divisors is an integer number (56953464960).

Almost surely, 2^{12262005068352} is an apocalyptic number.

12262005068352 is a gapful number since it is divisible by the number (12) 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 12262005068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136364226560).

12262005068352 is an abundant number, since it is smaller than the sum of its proper divisors (26010723384768).

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

12262005068352 is a wasteful number, since it uses less digits than its factorization.

12262005068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 12262005068352 in words is "twelve trillion, two hundred sixty-two billion, five million, sixty-eight thousand, three hundred fifty-two".