122013312 has 32 divisors (see below), whose sum is σ = 324098880. Its totient is φ = 40670976.

The previous prime is 122013299. The next prime is 122013313. The reversal of 122013312 is 213310221.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 122013291 and 122013300.

It is not an unprimeable number, because it can be changed into a prime (122013313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158488 + ... + 159255.

It is an arithmetic number, because the mean of its divisors is an integer number (10128090).

Almost surely, 2^122013312 is an apocalyptic number.

122013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122013312 is an abundant number, since it is smaller than the sum of its proper divisors (202085568).

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

122013312 is an equidigital number, since it uses as much as digits as its factorization.

122013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317760 (or 317748 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122013312 is about 11045.9636066755. The cubic root of 122013312 is about 495.9856048545.

Adding to 122013312 its reverse (213310221), we get a palindrome (335323533).

The spelling of 122013312 in words is "one hundred twenty-two million, thirteen thousand, three hundred twelve".