12826217140 has 192 divisors, whose sum is σ = 32271482880. Its totient is φ = 4234550400.

The previous prime is 12826217123. The next prime is 12826217161. The reversal of 12826217140 is 4171262821.

It is a super-2 number, since 2×12826217140² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12826217096 and 12826217105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 124526329 + ... + 124526431.

It is an arithmetic number, because the mean of its divisors is an integer number (168080640).

Almost surely, 2^12826217140 is an apocalyptic number.

12826217140 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 12826217140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16135741440).

12826217140 is an abundant number, since it is smaller than the sum of its proper divisors (19445265740).

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

12826217140 is a wasteful number, since it uses less digits than its factorization.

12826217140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

Adding to 12826217140 its reverse (4171262821), we get a palindrome (16997479961).

The spelling of 12826217140 in words is "twelve billion, eight hundred twenty-six million, two hundred seventeen thousand, one hundred forty".