110200011121200 has 720 divisors, whose sum is σ = 482431685895936. Its totient is φ = 21137263257600.

The previous prime is 110200011121163. The next prime is 110200011121223. The reversal of 110200011121200 is 2121110002011.

It is a super-2 number, since 2×110200011121200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1855429 + ... + 14961371.

Almost surely, 2^{110200011121200} is an apocalyptic number.

110200011121200 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 110200011121200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241215842947968).

110200011121200 is an abundant number, since it is smaller than the sum of its proper divisors (372231674774736).

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

110200011121200 is a wasteful number, since it uses less digits than its factorization.

110200011121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13106002 (or 13105984 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110200011121200 its reverse (2121110002011), we get a palindrome (112321121123211).

The spelling of 110200011121200 in words is "one hundred ten trillion, two hundred billion, eleven million, one hundred twenty-one thousand, two hundred".