110313122223120 has 80 divisors (see below), whose sum is σ = 351213129700800. Its totient is φ = 28621783060992.

The previous prime is 110313122223113. The next prime is 110313122223173. The reversal of 110313122223120 is 21322221313011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×110313122223120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 6211315570 + ... + 6211333329.

It is an arithmetic number, because the mean of its divisors is an integer number (4390164121260).

Almost surely, 2^{110313122223120} is an apocalyptic number.

110313122223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110313122223120 is an abundant number, since it is smaller than the sum of its proper divisors (240900007477680).

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

110313122223120 is a wasteful number, since it uses less digits than its factorization.

110313122223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12422648952 (or 12422648946 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 110313122223120 its reverse (21322221313011), we get a palindrome (131635343536131).

The spelling of 110313122223120 in words is "one hundred ten trillion, three hundred thirteen billion, one hundred twenty-two million, two hundred twenty-three thousand, one hundred twenty".