10650612021200 has 120 divisors (see below), whose sum is σ = 25759282680600. Its totient is φ = 4231829422080.

The previous prime is 10650612021193. The next prime is 10650612021229. The reversal of 10650612021200 is 212021605601.

It can be written as a sum of positive squares in 12 ways, for example, as 3422988417424 + 7227623603776 = 1850132^2 + 2688424^2 .

It is a super-2 number, since 2×10650612021200² (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 10650612021200.

It is a congruent number.

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, 39528536 + ... + 39797064.

It is an arithmetic number, because the mean of its divisors is an integer number (214660689005).

Almost surely, 2^{10650612021200} is an apocalyptic number.

10650612021200 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 10650612021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12879641340300).

10650612021200 is an abundant number, since it is smaller than the sum of its proper divisors (15108670659400).

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

10650612021200 is a wasteful number, since it uses less digits than its factorization.

10650612021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269209 (or 269198 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

Adding to 10650612021200 its reverse (212021605601), we get a palindrome (10862633626801).

The spelling of 10650612021200 in words is "ten trillion, six hundred fifty billion, six hundred twelve million, twenty-one thousand, two hundred".