122300322144 has 1152 divisors, whose sum is σ = 462166871040. Its totient is φ = 27517501440.

The previous prime is 122300322101. The next prime is 122300322169. The reversal of 122300322144 is 441223003221.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 2072886787 + ... + 2072886845.

It is an arithmetic number, because the mean of its divisors is an integer number (401186520).

Almost surely, 2^122300322144 is an apocalyptic number.

122300322144 is a gapful number since it is divisible by the number (14) 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 122300322144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231083435520).

122300322144 is an abundant number, since it is smaller than the sum of its proper divisors (339866548896).

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

122300322144 is a wasteful number, since it uses less digits than its factorization.

122300322144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 122300322144 its reverse (441223003221), we get a palindrome (563523325365).

It can be divided in two parts, 122300 and 322144, that added together give a palindrome (444444).

The spelling of 122300322144 in words is "one hundred twenty-two billion, three hundred million, three hundred twenty-two thousand, one hundred forty-four".