10122616 has 80 divisors (see below), whose sum is σ = 24200640. Its totient is φ = 3951360.

The previous prime is 10122601. The next prime is 10122617. The reversal of 10122616 is 61622101.

It is a junction number, because it is equal to n+sod(n) for n = 10122593 and 10122602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 326521 + ... + 326551.

It is an arithmetic number, because the mean of its divisors is an integer number (302508).

Almost surely, 2^10122616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100320).

10122616 is an abundant number, since it is smaller than the sum of its proper divisors (14078024).

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

10122616 is an equidigital number, since it uses as much as digits as its factorization.

10122616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 10122616 is about 3181.6058838266. The cubic root of 10122616 is about 216.3204548406.

Adding to 10122616 its reverse (61622101), we get a palindrome (71744717).

The spelling of 10122616 in words is "ten million, one hundred twenty-two thousand, six hundred sixteen".