122426304 has 336 divisors, whose sum is σ = 446227200. Its totient is φ = 29352960.

The previous prime is 122426279. The next prime is 122426323. The reversal of 122426304 is 403624221.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×122426304² = 29976399822200832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 9417402 + ... + 9417414.

Almost surely, 2^122426304 is an apocalyptic number.

122426304 is a gapful number since it is divisible by the number (14) 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 122426304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223113600).

122426304 is an abundant number, since it is smaller than the sum of its proper divisors (323800896).

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

122426304 is a wasteful number, since it uses less digits than its factorization.

122426304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 122426304 is about 11064.6420637994. The cubic root of 122426304 is about 496.5445804954.

It can be divided in two parts, 122 and 426304, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 122426304 in words is "one hundred twenty-two million, four hundred twenty-six thousand, three hundred four".