122300120000320 has 112 divisors (see below), whose sum is σ = 294353463248208. Its totient is φ = 48397695713280.

The previous prime is 122300120000299. The next prime is 122300120000329. The reversal of 122300120000320 is 23000021003221.

It can be written as a sum of positive squares in 8 ways, for example, as 23392003094784 + 98908116905536 = 4836528^2 + 9945256^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 122300120000294 and 122300120000303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122300120000329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5708262 + ... + 16648858.

It is an arithmetic number, because the mean of its divisors is an integer number (2628155921859).

Almost surely, 2^{122300120000320} is an apocalyptic number.

122300120000320 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 122300120000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147176731624104).

122300120000320 is an abundant number, since it is smaller than the sum of its proper divisors (172053343247888).

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

122300120000320 is a wasteful number, since it uses less digits than its factorization.

122300120000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10940988 (or 10940978 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 122300120000320 its reverse (23000021003221), we get a palindrome (145300141003541).

The spelling of 122300120000320 in words is "one hundred twenty-two trillion, three hundred billion, one hundred twenty million, three hundred twenty", and thus it is an aban number.