122121312 has 48 divisors (see below), whose sum is σ = 329242032. Its totient is φ = 39605760.

The previous prime is 122121301. The next prime is 122121323. The reversal of 122121312 is 213121221.

It is an interprime number because it is at equal distance from previous prime (122121301) and next prime (122121323).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×122121312² = 29827229689202688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122121291 and 122121300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13639 + ... + 20742.

It is an arithmetic number, because the mean of its divisors is an integer number (6859209).

Almost surely, 2^122121312 is an apocalyptic number.

122121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122121312 is an abundant number, since it is smaller than the sum of its proper divisors (207120720).

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

122121312 is a wasteful number, since it uses less digits than its factorization.

122121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34431 (or 34423 counting only the distinct ones).

The product of its digits is 48, while the sum is 15.

The square root of 122121312 is about 11050.8511889356. The cubic root of 122121312 is about 496.1319021381.

Adding to 122121312 its reverse (213121221), we get a palindrome (335242533).

Subtracting 122121312 from its reverse (213121221), we obtain a palindrome (90999909).

The spelling of 122121312 in words is "one hundred twenty-two million, one hundred twenty-one thousand, three hundred twelve".