12261900 has 72 divisors (see below), whose sum is σ = 40552960. Its totient is φ = 2802240.

The previous prime is 12261889. The next prime is 12261901. The reversal of 12261900 is 916221.

It is a super-2 number, since 2×12261900² = 300708383220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12261901) 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 23 ways as a sum of consecutive naturals, for example, 820 + ... + 5019.

Almost surely, 2^12261900 is an apocalyptic number.

12261900 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 12261900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20276480).

12261900 is an abundant number, since it is smaller than the sum of its proper divisors (28291060).

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

12261900 is a wasteful number, since it uses less digits than its factorization.

12261900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 12261900 is about 3501.6995873433. The cubic root of 12261900 is about 230.5964356042.

The spelling of 12261900 in words is "twelve million, two hundred sixty-one thousand, nine hundred".