122205312 has 96 divisors (see below), whose sum is σ = 359982480. Its totient is φ = 39771648.

The previous prime is 122205289. The next prime is 122205313. The reversal of 122205312 is 213502221.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (122205313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48303 + ... + 50769.

Almost surely, 2^122205312 is an apocalyptic number.

122205312 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 122205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179991240).

122205312 is an abundant number, since it is smaller than the sum of its proper divisors (237777168).

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

122205312 is a wasteful number, since it uses less digits than its factorization.

122205312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 122205312 is about 11054.6511478201. The cubic root of 122205312 is about 496.2456292932.

Adding to 122205312 its reverse (213502221), we get a palindrome (335707533).

The spelling of 122205312 in words is "one hundred twenty-two million, two hundred five thousand, three hundred twelve".