110312321322000 has 640 divisors, whose sum is σ = 411057818615808. Its totient is φ = 24929150976000.

The previous prime is 110312321321989. The next prime is 110312321322019. The reversal of 110312321322000 is 223123213011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4200280869 + ... + 4200307131.

Almost surely, 2^{110312321322000} is an apocalyptic number.

110312321322000 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 110312321322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205528909307904).

110312321322000 is an abundant number, since it is smaller than the sum of its proper divisors (300745497293808).

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

110312321322000 is a wasteful number, since it uses less digits than its factorization.

110312321322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27424 (or 27408 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 110312321322000 its reverse (223123213011), we get a palindrome (110535444535011).

The spelling of 110312321322000 in words is "one hundred ten trillion, three hundred twelve billion, three hundred twenty-one million, three hundred twenty-two thousand".