122621312 has 64 divisors (see below), whose sum is σ = 270369360. Its totient is φ = 54927360.

The previous prime is 122621311. The next prime is 122621321. The reversal of 122621312 is 213126221.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122621311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102188 + ... + 103380.

Almost surely, 2^122621312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122621312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184680).

122621312 is an abundant number, since it is smaller than the sum of its proper divisors (147748048).

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

122621312 is a wasteful number, since it uses less digits than its factorization.

122621312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1291 (or 1279 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 122621312 is about 11073.4507720042. The cubic root of 122621312 is about 496.8080826882.

Adding to 122621312 its reverse (213126221), we get a palindrome (335747533).

The spelling of 122621312 in words is "one hundred twenty-two million, six hundred twenty-one thousand, three hundred twelve".