110121120121200 has 240 divisors, whose sum is σ = 358751565263616. Its totient is φ = 28870419456000.

The previous prime is 110121120121127. The next prime is 110121120121211. The reversal of 110121120121200 is 2121021121011.

It is a happy number.

110121120121200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×110121120121200² (a number of 29 digits) contains 22 as substring.

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 110121120121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14443759 + ... + 20709041.

Almost surely, 2^{110121120121200} is an apocalyptic number.

110121120121200 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 110121120121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179375782631808).

110121120121200 is an abundant number, since it is smaller than the sum of its proper divisors (248630445142416).

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

110121120121200 is a wasteful number, since it uses less digits than its factorization.

110121120121200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265552 (or 6265541 counting only the distinct ones).

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

Adding to 110121120121200 its reverse (2121021121011), we get a palindrome (112242141242211).

The spelling of 110121120121200 in words is "one hundred ten trillion, one hundred twenty-one billion, one hundred twenty million, one hundred twenty-one thousand, two hundred".