122161312 has 108 divisors (see below), whose sum is σ = 303604686. Its totient is φ = 48222720.

The previous prime is 122161307. The next prime is 122161313. The reversal of 122161312 is 213161221.

It can be written as a sum of positive squares in 3 ways, for example, as 50183056 + 71978256 = 7084^2 + 8484^2 .

It is a super-2 number, since 2×122161312² = 29846772299122688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122161312.

It is not an unprimeable number, because it can be changed into a prime (122161313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 264762 + ... + 265222.

Almost surely, 2^122161312 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 122161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151802343).

122161312 is an abundant number, since it is smaller than the sum of its proper divisors (181443374).

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

122161312 is a wasteful number, since it uses less digits than its factorization.

122161312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 483 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 122161312 is about 11052.6608561016. The cubic root of 122161312 is about 496.1860644281.

Subtracting 122161312 from its reverse (213161221), we obtain a palindrome (90999909).

The spelling of 122161312 in words is "one hundred twenty-two million, one hundred sixty-one thousand, three hundred twelve".