12100900 has 72 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 4064640.

The previous prime is 12100873. The next prime is 12100901. The reversal of 12100900 is 900121.

It is not an unprimeable number, because it can be changed into a prime (12100901) 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, 41154 + ... + 41446.

It is an arithmetic number, because the mean of its divisors is an integer number (425320).

Almost surely, 2^12100900 is an apocalyptic number.

12100900 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 12100900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

12100900 is an abundant number, since it is smaller than the sum of its proper divisors (18522140).

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

12100900 is a wasteful number, since it uses less digits than its factorization.

12100900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 12100900 is about 3478.6347896840. The cubic root of 12100900 is about 229.5827343182.

It can be divided in two parts, 12100 and 900, that multiplied together give a square (10890000 = 3300²).

The spelling of 12100900 in words is "twelve million, one hundred thousand, nine hundred".