110012200020000 has 180 divisors, whose sum is σ = 390933854020710. Its totient is φ = 29336586624000.

The previous prime is 110012200019987. The next prime is 110012200020001. The reversal of 110012200020000 is 20002210011.

It can be written as a sum of positive squares in 5 ways, for example, as 24255191601936 + 85757008418064 = 4924956^2 + 9260508^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110012200020001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 305409445 + ... + 305769444.

Almost surely, 2^{110012200020000} is an apocalyptic number.

110012200020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110012200020000 is an abundant number, since it is smaller than the sum of its proper divisors (280921654000710).

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

110012200020000 is an equidigital number, since it uses as much as digits as its factorization.

110012200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611178925 (or 611178899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 110012200020000 its reverse (20002210011), we get a palindrome (110032202230011).

The spelling of 110012200020000 in words is "one hundred ten trillion, twelve billion, two hundred million, twenty thousand".