122412096 has 63 divisors (see below), whose sum is σ = 351634933. Its totient is φ = 40715520.

The previous prime is 122412089. The next prime is 122412127. The reversal of 122412096 is 690214221.

The square root of 122412096 is 11064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 39237696 + 83174400 = 6264^2 + 9120^2 .

It is a super-2 number, since 2×122412096² = 29969442494226432, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 265306 + ... + 265766.

Almost surely, 2^122412096 is an apocalyptic number.

122412096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

122412096 is the 11064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122412096

122412096 is an abundant number, since it is smaller than the sum of its proper divisors (229222837).

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

122412096 is an frugal number, since it uses more digits than its factorization.

122412096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 122412096 is about 496.5253711749.

The spelling of 122412096 in words is "one hundred twenty-two million, four hundred twelve thousand, ninety-six".