110007212320 has 288 divisors, whose sum is σ = 281163461040. Its totient is φ = 40659148800.

The previous prime is 110007212267. The next prime is 110007212323. The reversal of 110007212320 is 23212700011.

It can be written as a sum of positive squares in 8 ways, for example, as 104672955024 + 5334257296 = 323532^2 + 73036^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (110007212323) 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 47 ways as a sum of consecutive naturals, for example, 635879754 + ... + 635879926.

Almost surely, 2^110007212320 is an apocalyptic number.

110007212320 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 110007212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140581730520).

110007212320 is an abundant number, since it is smaller than the sum of its proper divisors (171156248720).

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

110007212320 is a wasteful number, since it uses less digits than its factorization.

110007212320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 110007212320 its reverse (23212700011), we get a palindrome (133219912331).

The spelling of 110007212320 in words is "one hundred ten billion, seven million, two hundred twelve thousand, three hundred twenty".