122122311000 has 256 divisors, whose sum is σ = 394446274560. Its totient is φ = 31432665600.

The previous prime is 122122310987. The next prime is 122122311011. The reversal of 122122311000 is 113221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14092669 + ... + 14101331.

It is an arithmetic number, because the mean of its divisors is an integer number (1540805760).

Almost surely, 2^122122311000 is an apocalyptic number.

122122311000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122122311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197223137280).

122122311000 is an abundant number, since it is smaller than the sum of its proper divisors (272323963560).

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

122122311000 is a wasteful number, since it uses less digits than its factorization.

122122311000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8851 (or 8837 counting only the distinct ones).

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

Adding to 122122311000 its reverse (113221221), we get a palindrome (122235532221).

The spelling of 122122311000 in words is "one hundred twenty-two billion, one hundred twenty-two million, three hundred eleven thousand".