122003011312 has 160 divisors (see below), whose sum is σ = 295781068800. Its totient is φ = 47463736320.

The previous prime is 122003011309. The next prime is 122003011331. The reversal of 122003011312 is 213110300221.

It is a super-2 number, since 2×122003011312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47861814 + ... + 47864362.

It is an arithmetic number, because the mean of its divisors is an integer number (1848631680).

Almost surely, 2^122003011312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122003011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147890534400).

122003011312 is an abundant number, since it is smaller than the sum of its proper divisors (173778057488).

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

122003011312 is a wasteful number, since it uses less digits than its factorization.

122003011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 122003011312 its reverse (213110300221), we get a palindrome (335113311533).

The spelling of 122003011312 in words is "one hundred twenty-two billion, three million, eleven thousand, three hundred twelve".