12106620 has 72 divisors (see below), whose sum is σ = 37136736. Its totient is φ = 3192192.

The previous prime is 12106583. The next prime is 12106621. The reversal of 12106620 is 2660121.

It is a happy number.

12106620 is a `hidden beast` number, since 1 + 2 + 1 + 0 + 662 + 0 = 666.

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 = 12106593 and 12106602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106621) 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, 18214 + ... + 18866.

It is an arithmetic number, because the mean of its divisors is an integer number (515788).

Almost surely, 2^12106620 is an apocalyptic number.

12106620 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 12106620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18568368).

12106620 is an abundant number, since it is smaller than the sum of its proper divisors (25030116).

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

12106620 is a wasteful number, since it uses less digits than its factorization.

12106620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 12106620 is about 3479.4568541656. The cubic root of 12106620 is about 229.6189026027.

Adding to 12106620 its reverse (2660121), we get a palindrome (14766741).

The spelling of 12106620 in words is "twelve million, one hundred six thousand, six hundred twenty".