122721606 has 192 divisors, whose sum is σ = 349360128. Its totient is φ = 30311424.

The previous prime is 122721601. The next prime is 122721611. The reversal of 122721606 is 606127221.

122721606 is a `hidden beast` number, since 12 + 27 + 21 + 606 = 666.

It is an interprime number because it is at equal distance from previous prime (122721601) and next prime (122721611).

It is a self number, because there is not a number n which added to its sum of digits gives 122721606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122721601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2315476 + ... + 2315528.

It is an arithmetic number, because the mean of its divisors is an integer number (1819584).

Almost surely, 2^122721606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122721606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174680064).

122721606 is an abundant number, since it is smaller than the sum of its proper divisors (226638522).

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

122721606 is a wasteful number, since it uses less digits than its factorization.

122721606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 122721606 is about 11077.9784256876. The cubic root of 122721606 is about 496.9434949599.

Adding to 122721606 its reverse (606127221), we get a palindrome (728848827).

The spelling of 122721606 in words is "one hundred twenty-two million, seven hundred twenty-one thousand, six hundred six".