122310220211300 has 144 divisors (see below), whose sum is σ = 290406490920000. Its totient is φ = 44343626611200.

The previous prime is 122310220211297. The next prime is 122310220211449. The reversal of 122310220211300 is 3112022013221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4581065351 + ... + 4581092049.

It is an arithmetic number, because the mean of its divisors is an integer number (2016711742500).

Almost surely, 2^{122310220211300} is an apocalyptic number.

122310220211300 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 122310220211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145203245460000).

122310220211300 is an abundant number, since it is smaller than the sum of its proper divisors (168096270708700).

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

122310220211300 is a wasteful number, since it uses less digits than its factorization.

122310220211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39006 (or 38999 counting only the distinct ones).

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

Adding to 122310220211300 its reverse (3112022013221), we get a palindrome (125422242224521).

The spelling of 122310220211300 in words is "one hundred twenty-two trillion, three hundred ten billion, two hundred twenty million, two hundred eleven thousand, three hundred".