122103013311312 has 80 divisors (see below), whose sum is σ = 344314670992320. Its totient is φ = 36978743347200.

The previous prime is 122103013311289. The next prime is 122103013311329. The reversal of 122103013311312 is 213113310301221.

It is a super-2 number, since 2×122103013311312² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68398489 + ... + 70160952.

It is an arithmetic number, because the mean of its divisors is an integer number (4303933387404).

Almost surely, 2^{122103013311312} is an apocalyptic number.

122103013311312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122103013311312 is an abundant number, since it is smaller than the sum of its proper divisors (222211657681008).

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

122103013311312 is a wasteful number, since it uses less digits than its factorization.

122103013311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138561132 (or 138561126 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 122103013311312 its reverse (213113310301221), we get a palindrome (335216323612533).

The spelling of 122103013311312 in words is "one hundred twenty-two trillion, one hundred three billion, thirteen million, three hundred eleven thousand, three hundred twelve".