122321215123344 has 120 divisors (see below), whose sum is σ = 346222569718272. Its totient is φ = 40311353479680.

The previous prime is 122321215123343. The next prime is 122321215123363. The reversal of 122321215123344 is 443321512123221.

122321215123344 is a `hidden beast` number, since 1 + 2 + 23 + 212 + 151 + 233 + 44 = 666.

122321215123344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122321215123344² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 122321215123299 and 122321215123308.

It is not an unprimeable number, because it can be changed into a prime (122321215123343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2209684 + ... + 15796364.

Almost surely, 2^{122321215123344} 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 122321215123344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173111284859136).

122321215123344 is an abundant number, since it is smaller than the sum of its proper divisors (223901354594928).

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

122321215123344 is a wasteful number, since it uses less digits than its factorization.

122321215123344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13587405 (or 13587396 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 122321215123344 its reverse (443321512123221), we get a palindrome (565642727246565).

The spelling of 122321215123344 in words is "one hundred twenty-two trillion, three hundred twenty-one billion, two hundred fifteen million, one hundred twenty-three thousand, three hundred forty-four".