122847312 has 120 divisors (see below), whose sum is σ = 388740000. Its totient is φ = 33239808.

The previous prime is 122847311. The next prime is 122847317. The reversal of 122847312 is 213748221.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122847312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122847311) 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, 43314 + ... + 46062.

It is an arithmetic number, because the mean of its divisors is an integer number (3239500).

Almost surely, 2^122847312 is an apocalyptic number.

122847312 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 122847312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194370000).

122847312 is an abundant number, since it is smaller than the sum of its proper divisors (265892688).

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

122847312 is a wasteful number, since it uses less digits than its factorization.

122847312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2780 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 122847312 is about 11083.6506621239. The cubic root of 122847312 is about 497.1131131819.

Subtracting 122847312 from its reverse (213748221), we obtain a palindrome (90900909).

The spelling of 122847312 in words is "one hundred twenty-two million, eight hundred forty-seven thousand, three hundred twelve".