12816827136 has 216 divisors, whose sum is σ = 39284363664. Its totient is φ = 4004904960.

The previous prime is 12816827123. The next prime is 12816827141. The reversal of 12816827136 is 63172861821.

It is a junction number, because it is equal to n+sod(n) for n = 12816827091 and 12816827100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13199131 + ... + 13200101.

It is an arithmetic number, because the mean of its divisors is an integer number (181872054).

Almost surely, 2^12816827136 is an apocalyptic number.

12816827136 is a gapful number since it is divisible by the number (16) 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 12816827136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19642181832).

12816827136 is an abundant number, since it is smaller than the sum of its proper divisors (26467536528).

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

12816827136 is a wasteful number, since it uses less digits than its factorization.

12816827136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347 (or 1330 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 12816827136 in words is "twelve billion, eight hundred sixteen million, eight hundred twenty-seven thousand, one hundred thirty-six".