122264208 has 120 divisors (see below), whose sum is σ = 385912800. Its totient is φ = 37033920.

The previous prime is 122264189. The next prime is 122264209. The reversal of 122264208 is 802462221.

It is a happy number.

122264208 is a `hidden beast` number, since 12 + 2 + 2 + 642 + 0 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (122264209) 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, 51103 + ... + 53441.

It is an arithmetic number, because the mean of its divisors is an integer number (3215940).

Almost surely, 2^122264208 is an apocalyptic number.

122264208 is a gapful number since it is divisible by the number (18) 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 122264208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192956400).

122264208 is an abundant number, since it is smaller than the sum of its proper divisors (263648592).

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

122264208 is a wasteful number, since it uses less digits than its factorization.

122264208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 122264208 is about 11057.3146830503. The cubic root of 122264208 is about 496.3253371993.

The spelling of 122264208 in words is "one hundred twenty-two million, two hundred sixty-four thousand, two hundred eight".