110168301312 has 288 divisors, whose sum is σ = 357853708800. Its totient is φ = 33276469248.

The previous prime is 110168301283. The next prime is 110168301319. The reversal of 110168301312 is 213103861011.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×110168301312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110168301319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3002308 + ... + 3038780.

It is an arithmetic number, because the mean of its divisors is an integer number (1242547600).

Almost surely, 2^110168301312 is an apocalyptic number.

110168301312 is a gapful number since it is divisible by the number (12) 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 110168301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178926854400).

110168301312 is an abundant number, since it is smaller than the sum of its proper divisors (247685407488).

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

110168301312 is a wasteful number, since it uses less digits than its factorization.

110168301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36540 (or 36520 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 110168301312 in words is "one hundred ten billion, one hundred sixty-eight million, three hundred one thousand, three hundred twelve".