122122120000331 has 12 divisors (see below), whose sum is σ = 137507390112792. Its totient is φ = 108312301548000.

The previous prime is 122122120000313. The next prime is 122122120000393. The reversal of 122122120000331 is 133000021221221.

It is not a de Polignac number, because 122122120000331 - 2⁶ = 122122120000267 is a prime.

It is a super-2 number, since 2×122122120000331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122122120000031) 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, 12308211125 + ... + 12308221046.

It is an arithmetic number, because the mean of its divisors is an integer number (11458949176066).

Almost surely, 2^{122122120000331} is an apocalyptic number.

122122120000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

122122120000331 is a deficient number, since it is larger than the sum of its proper divisors (15385270112461).

122122120000331 is a wasteful number, since it uses less digits than its factorization.

122122120000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24616432234 (or 24616432223 counting only the distinct ones).

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

Adding to 122122120000331 its reverse (133000021221221), we get a palindrome (255122141221552).

The spelling of 122122120000331 in words is "one hundred twenty-two trillion, one hundred twenty-two billion, one hundred twenty million, three hundred thirty-one", and thus it is an aban number.