122562216 has 192 divisors, whose sum is σ = 403603200. Its totient is φ = 32845824.

The previous prime is 122562211. The next prime is 122562233. The reversal of 122562216 is 612265221.

122562216 is a `hidden beast` number, since 1 + 2 + 25 + 622 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 122562216.

It is not an unprimeable number, because it can be changed into a prime (122562211) 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 47 ways as a sum of consecutive naturals, for example, 1124370 + ... + 1124478.

It is an arithmetic number, because the mean of its divisors is an integer number (2102100).

Almost surely, 2^122562216 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 122562216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201801600).

122562216 is an abundant number, since it is smaller than the sum of its proper divisors (281040984).

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

122562216 is a wasteful number, since it uses less digits than its factorization.

122562216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 122562216 is about 11070.7820861943. The cubic root of 122562216 is about 496.7282594565.

The spelling of 122562216 in words is "one hundred twenty-two million, five hundred sixty-two thousand, two hundred sixteen".