12212100 has 72 divisors (see below), whose sum is σ = 39268320. Its totient is φ = 3255840.

The previous prime is 12212087. The next prime is 12212107. The reversal of 12212100 is 121221.

12212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (12212107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 439 + ... + 4961.

Almost surely, 2^12212100 is an apocalyptic number.

12212100 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 12212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19634160).

12212100 is an abundant number, since it is smaller than the sum of its proper divisors (27056220).

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

12212100 is a wasteful number, since it uses less digits than its factorization.

12212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12212100 is about 3494.5815200107. The cubic root of 12212100 is about 230.2838335835.

Adding to 12212100 its reverse (121221), we get a palindrome (12333321).

It can be divided in two parts, 1221 and 2100, that added together give a triangular number (3321 = T₈₁).

The spelling of 12212100 in words is "twelve million, two hundred twelve thousand, one hundred".