12133620 has 36 divisors (see below), whose sum is σ = 36805860. Its totient is φ = 3235584.

The previous prime is 12133619. The next prime is 12133621. The reversal of 12133620 is 2633121.

12133620 is a `hidden beast` number, since 12 + 1 + 33 + 620 = 666.

12133620 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12133619) and next prime (12133621).

It can be written as a sum of positive squares in 2 ways, for example, as 6170256 + 5963364 = 2484^2 + 2442^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12133593 and 12133602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12133621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33525 + ... + 33884.

It is an arithmetic number, because the mean of its divisors is an integer number (1022385).

Almost surely, 2^12133620 is an apocalyptic number.

12133620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12133620 is an abundant number, since it is smaller than the sum of its proper divisors (24672240).

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

12133620 is a wasteful number, since it uses less digits than its factorization.

12133620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67424 (or 67419 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 12133620 is about 3483.3346092502. The cubic root of 12133620 is about 229.7894733934.

Adding to 12133620 its reverse (2633121), we get a palindrome (14766741).

The spelling of 12133620 in words is "twelve million, one hundred thirty-three thousand, six hundred twenty".