103212314000 has 120 divisors (see below), whose sum is σ = 256529653224. Its totient is φ = 40135104000.

The previous prime is 103212313943. The next prime is 103212314021. The reversal of 103212314000 is 413212301.

103212314000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 7736257936 + 95476056064 = 87956^2 + 308992^2 .

It is a super-2 number, since 2×103212314000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103212314000.

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 23 ways as a sum of consecutive naturals, for example, 87393410 + ... + 87394590.

Almost surely, 2^103212314000 is an apocalyptic number.

103212314000 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 103212314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128264826612).

103212314000 is an abundant number, since it is smaller than the sum of its proper divisors (153317339224).

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

103212314000 is an frugal number, since it uses more digits than its factorization.

103212314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103212314000 its reverse (413212301), we get a palindrome (103625526301).

The spelling of 103212314000 in words is "one hundred three billion, two hundred twelve million, three hundred fourteen thousand".