110120112121200 has 480 divisors, whose sum is σ = 381778281292800. Its totient is φ = 27041071104000.

The previous prime is 110120112121183. The next prime is 110120112121207. The reversal of 110120112121200 is 2121211021011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110120112121200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120112121207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253113456 + ... + 253548144.

It is an arithmetic number, because the mean of its divisors is an integer number (795371419360).

Almost surely, 2^{110120112121200} is an apocalyptic number.

110120112121200 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 110120112121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190889140646400).

110120112121200 is an abundant number, since it is smaller than the sum of its proper divisors (271658169171600).

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

110120112121200 is a wasteful number, since it uses less digits than its factorization.

110120112121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435041 (or 435030 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110120112121200 its reverse (2121211021011), we get a palindrome (112241323142211).

The spelling of 110120112121200 in words is "one hundred ten trillion, one hundred twenty billion, one hundred twelve million, one hundred twenty-one thousand, two hundred".