13212100 has 36 divisors (see below), whose sum is σ = 31279248. Its totient is φ = 4804000.

The previous prime is 13212061. The next prime is 13212103. The reversal of 13212100 is 121231.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4906 + ... + 7105.

It is an arithmetic number, because the mean of its divisors is an integer number (868868).

Almost surely, 2^13212100 is an apocalyptic number.

13212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13212100 is an abundant number, since it is smaller than the sum of its proper divisors (18067148).

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

13212100 is a wasteful number, since it uses less digits than its factorization.

13212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12036 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 13212100 is about 3634.8452511765. The cubic root of 13212100 is about 236.4053409466.

Adding to 13212100 its reverse (121231), we get a palindrome (13333331).

The spelling of 13212100 in words is "thirteen million, two hundred twelve thousand, one hundred".