122114304 has 216 divisors, whose sum is σ = 395816512. Its totient is φ = 37324800.

The previous prime is 122114303. The next prime is 122114341. The reversal of 122114304 is 403411221.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122114303) 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, 808629 + ... + 808779.

Almost surely, 2^122114304 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 122114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197908256).

122114304 is an abundant number, since it is smaller than the sum of its proper divisors (273702208).

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

122114304 is an equidigital number, since it uses as much as digits as its factorization.

122114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 122114304 is about 11050.5341047390. The cubic root of 122114304 is about 496.1224116874.

Adding to 122114304 its reverse (403411221), we get a palindrome (525525525).

The spelling of 122114304 in words is "one hundred twenty-two million, one hundred fourteen thousand, three hundred four".