110121200000 has 384 divisors, whose sum is σ = 318602108160. Its totient is φ = 37128960000.

The previous prime is 110121199987. The next prime is 110121200009. The reversal of 110121200000 is 2121011.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110121200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187599707 + ... + 187600293.

It is an arithmetic number, because the mean of its divisors is an integer number (829692990).

Almost surely, 2^110121200000 is an apocalyptic number.

110121200000 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 110121200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159301054080).

110121200000 is an abundant number, since it is smaller than the sum of its proper divisors (208480908160).

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

110121200000 is an frugal number, since it uses more digits than its factorization.

110121200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 110121200000 its reverse (2121011), we get a palindrome (110123321011).

The spelling of 110121200000 in words is "one hundred ten billion, one hundred twenty-one million, two hundred thousand".