12610620010000 has 100 divisors (see below), whose sum is σ = 30548568300844. Its totient is φ = 5041440000000.

The previous prime is 12610620009997. The next prime is 12610620010019. The reversal of 12610620010000 is 1002601621.

It can be written as a sum of positive squares in 10 ways, for example, as 12474995744016 + 135624265984 = 3531996^2 + 368272^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×12610620010000² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12610620010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17659900 + ... + 18360100.

Almost surely, 2^{12610620010000} is an apocalyptic number.

12610620010000 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 12610620010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15274284150422).

12610620010000 is an abundant number, since it is smaller than the sum of its proper divisors (17937948290844).

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

12610620010000 is an equidigital number, since it uses as much as digits as its factorization.

12610620010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702030 (or 702009 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 12610620010000 its reverse (1002601621), we get a palindrome (12611622611621).

The spelling of 12610620010000 in words is "twelve trillion, six hundred ten billion, six hundred twenty million, ten thousand".