12002100 has 72 divisors (see below), whose sum is σ = 37893408. Its totient is φ = 2908800.

The previous prime is 12002093. The next prime is 12002147. The reversal of 12002100 is 120021.

It is a happy number.

12002100 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1482 + ... + 5118.

Almost surely, 2^12002100 is an apocalyptic number.

12002100 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 12002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18946704).

12002100 is an abundant number, since it is smaller than the sum of its proper divisors (25891308).

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

12002100 is a wasteful number, since it uses less digits than its factorization.

12002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 12002100 is about 3464.4047107692. The cubic root of 12002100 is about 228.9562027312.

Adding to 12002100 its reverse (120021), we get a palindrome (12122121).

Multiplying 12002100 by its reverse (120021), we get a square (1440504044100 = 1200210²).

12002100 divided by its reverse (120021) gives a square (100 = 10²).

The spelling of 12002100 in words is "twelve million, two thousand, one hundred".