110350311131200 has 672 divisors, whose sum is σ = 331957388367360. Its totient is φ = 35280524083200.

The previous prime is 110350311131189. The next prime is 110350311131231. The reversal of 110350311131200 is 2131113053011.

110350311131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110350311131200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18303249786 + ... + 18303255814.

It is an arithmetic number, because the mean of its divisors is an integer number (493984208880).

Almost surely, 2^{110350311131200} is an apocalyptic number.

110350311131200 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 110350311131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165978694183680).

110350311131200 is an abundant number, since it is smaller than the sum of its proper divisors (221607077236160).

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

110350311131200 is a wasteful number, since it uses less digits than its factorization.

110350311131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7855 (or 7840 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

Adding to 110350311131200 its reverse (2131113053011), we get a palindrome (112481424184211).

The spelling of 110350311131200 in words is "one hundred ten trillion, three hundred fifty billion, three hundred eleven million, one hundred thirty-one thousand, two hundred".