13122628848810 has 96 divisors (see below), whose sum is σ = 37007701960320. Its totient is φ = 3206946777984.

The previous prime is 13122628848767. The next prime is 13122628848811. The reversal of 13122628848810 is 1884882622131.

13122628848810 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 628 + 8 + 4 + 8 + 8 + 1 + 0 = 666.

It is a super-2 number, since 2×13122628848810² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122628848811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40182414 + ... + 40507673.

It is an arithmetic number, because the mean of its divisors is an integer number (385496895420).

Almost surely, 2^{13122628848810} is an apocalyptic number.

13122628848810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13122628848810 is an abundant number, since it is smaller than the sum of its proper divisors (23885073111510).

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

13122628848810 is a wasteful number, since it uses less digits than its factorization.

13122628848810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80690252 (or 80690249 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 13122628848810 in words is "thirteen trillion, one hundred twenty-two billion, six hundred twenty-eight million, eight hundred forty-eight thousand, eight hundred ten".