103212 has 36 divisors (see below), whose sum is σ = 270816. Its totient is φ = 33120.

The previous prime is 103183. The next prime is 103217. The reversal of 103212 is 212301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 103194 and 103203.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 103212.

It is not an unprimeable number, because it can be changed into a prime (103217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1662 + ... + 1722.

2¹⁰³²¹² is an apocalyptic number.

103212 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 103212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

103212 is an abundant number, since it is smaller than the sum of its proper divisors (167604).

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

103212 is a wasteful number, since it uses less digits than its factorization.

103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 103212 is about 321.2662447255. The cubic root of 103212 is about 46.9076199614.

Adding to 103212 its reverse (212301), we get a palindrome (315513).

The spelling of 103212 in words is "one hundred three thousand, two hundred twelve", and thus it is an iban number.