122272416 has 240 divisors, whose sum is σ = 430303104. Its totient is φ = 33302016.

The previous prime is 122272411. The next prime is 122272417. The reversal of 122272416 is 614272221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122272416.

It is not an unprimeable number, because it can be changed into a prime (122272411) 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 39 ways as a sum of consecutive naturals, for example, 417166 + ... + 417458.

Almost surely, 2^122272416 is an apocalyptic number.

122272416 is a gapful number since it is divisible by the number (16) 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 122272416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215151552).

122272416 is an abundant number, since it is smaller than the sum of its proper divisors (308030688).

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

122272416 is a wasteful number, since it uses less digits than its factorization.

122272416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 122272416 is about 11057.6858338443. The cubic root of 122272416 is about 496.3364436037.

The spelling of 122272416 in words is "one hundred twenty-two million, two hundred seventy-two thousand, four hundred sixteen".