122004414 has 80 divisors (see below), whose sum is σ = 316625040. Its totient is φ = 34821360.

The previous prime is 122004409. The next prime is 122004419. The reversal of 122004414 is 414400221.

122004414 is a `hidden beast` number, since 1 + 220 + 0 + 441 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (122004409) and next prime (122004419).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122004419) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129184 + ... + 130124.

It is an arithmetic number, because the mean of its divisors is an integer number (3957813).

Almost surely, 2^122004414 is an apocalyptic number.

122004414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122004414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158312520).

122004414 is an abundant number, since it is smaller than the sum of its proper divisors (194620626).

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

122004414 is an frugal number, since it uses more digits than its factorization.

122004414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 980 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 122004414 is about 11045.5608277715. The cubic root of 122004414 is about 495.9735477351.

Adding to 122004414 its reverse (414400221), we get a palindrome (536404635).

The spelling of 122004414 in words is "one hundred twenty-two million, four thousand, four hundred fourteen".