122312106 has 96 divisors (see below), whose sum is σ = 317466240. Its totient is φ = 34572096.

The previous prime is 122312089. The next prime is 122312123. The reversal of 122312106 is 601213221.

It is an interprime number because it is at equal distance from previous prime (122312089) and next prime (122312123).

It is a super-3 number, since 3×122312106³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534000 + ... + 534228.

It is an arithmetic number, because the mean of its divisors is an integer number (3306940).

Almost surely, 2^122312106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122312106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158733120).

122312106 is an abundant number, since it is smaller than the sum of its proper divisors (195154134).

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

122312106 is a wasteful number, since it uses less digits than its factorization.

122312106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 122312106 is about 11059.4803675399. The cubic root of 122312106 is about 496.3901419028.

Adding to 122312106 its reverse (601213221), we get a palindrome (723525327).

The spelling of 122312106 in words is "one hundred twenty-two million, three hundred twelve thousand, one hundred six".