122301312 has 128 divisors (see below), whose sum is σ = 374837760. Its totient is φ = 34609152.

The previous prime is 122301299. The next prime is 122301313. The reversal of 122301312 is 213103221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×122301312² = 29915221833842688, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122301291 and 122301300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122301313) 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, 464893 + ... + 465155.

It is an arithmetic number, because the mean of its divisors is an integer number (2928420).

Almost surely, 2^122301312 is an apocalyptic number.

122301312 is a gapful number since it is divisible by the number (12) 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 122301312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187418880).

122301312 is an abundant number, since it is smaller than the sum of its proper divisors (252536448).

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

122301312 is a wasteful number, since it uses less digits than its factorization.

122301312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122301312 is about 11058.9923591618. The cubic root of 122301312 is about 496.3755393886.

Adding to 122301312 its reverse (213103221), we get a palindrome (335404533).

The spelling of 122301312 in words is "one hundred twenty-two million, three hundred one thousand, three hundred twelve".