122114208 has 96 divisors (see below), whose sum is σ = 340139520. Its totient is φ = 38292480.

The previous prime is 122114207. The next prime is 122114231. The reversal of 122114208 is 802411221.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (122114207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109558 + ... + 110666.

It is an arithmetic number, because the mean of its divisors is an integer number (3543120).

Almost surely, 2^122114208 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 122114208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170069760).

122114208 is an abundant number, since it is smaller than the sum of its proper divisors (218025312).

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

122114208 is a wasteful number, since it uses less digits than its factorization.

122114208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 122114208 is about 11050.5297610567. The cubic root of 122114208 is about 496.1222816787.

Adding to 122114208 its reverse (802411221), we get a palindrome (924525429).

The spelling of 122114208 in words is "one hundred twenty-two million, one hundred fourteen thousand, two hundred eight".