110312001000 has 192 divisors, whose sum is σ = 375361506000. Its totient is φ = 29218752000.

The previous prime is 110312000983. The next prime is 110312001001. The reversal of 110312001000 is 100213011.

It can be written as a sum of positive squares in 8 ways, for example, as 8419530564 + 101892470436 = 91758^2 + 319206^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (110312001001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1299870 + ... + 1382130.

Almost surely, 2^110312001000 is an apocalyptic number.

110312001000 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 110312001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187680753000).

110312001000 is an abundant number, since it is smaller than the sum of its proper divisors (265049505000).

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

110312001000 is a wasteful number, since it uses less digits than its factorization.

110312001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82437 (or 82420 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 110312001000 its reverse (100213011), we get a palindrome (110412214011).

The spelling of 110312001000 in words is "one hundred ten billion, three hundred twelve million, one thousand".