12269726945280 has 1872 divisors, whose sum is σ = 52820943261840. Its totient is φ = 2617572851712.

The previous prime is 12269726945213. The next prime is 12269726945309. The reversal of 12269726945280 is 8254962796221.

12269726945280 is a `hidden beast` number, since 1 + 2 + 2 + 6 + 97 + 269 + 4 + 5 + 280 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 236709494784 + 12033017450496 = 486528^2 + 3468864^2 .

It is a super-2 number, since 2×12269726945280² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24105553666 + ... + 24105554174.

It is an arithmetic number, because the mean of its divisors is an integer number (28216315845).

Almost surely, 2^{12269726945280} is an apocalyptic number.

12269726945280 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 12269726945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26410471630920).

12269726945280 is an abundant number, since it is smaller than the sum of its proper divisors (40551216316560).

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

12269726945280 is a wasteful number, since it uses less digits than its factorization.

12269726945280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 12269726945280 in words is "twelve trillion, two hundred sixty-nine billion, seven hundred twenty-six million, nine hundred forty-five thousand, two hundred eighty".