110003121200 has 240 divisors, whose sum is σ = 316565024256. Its totient is φ = 35915827200.

The previous prime is 110003121199. The next prime is 110003121253. The reversal of 110003121200 is 2121300011.

It is a super-3 number, since 3×110003121200³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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, 15001535 + ... + 15008865.

Almost surely, 2^110003121200 is an apocalyptic number.

110003121200 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 110003121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158282512128).

110003121200 is an abundant number, since it is smaller than the sum of its proper divisors (206561903056).

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

110003121200 is a wasteful number, since it uses less digits than its factorization.

110003121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7601 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 110003121200 its reverse (2121300011), we get a palindrome (112124421211).

The spelling of 110003121200 in words is "one hundred ten billion, three million, one hundred twenty-one thousand, two hundred".