122212133120 has 288 divisors, whose sum is σ = 368613455616. Its totient is φ = 37711872000.

The previous prime is 122212133117. The next prime is 122212133149. The reversal of 122212133120 is 21331212221.

122212133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 122212133092 and 122212133101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9948422 + ... + 9960698.

It is an arithmetic number, because the mean of its divisors is an integer number (1279907832).

Almost surely, 2^122212133120 is an apocalyptic number.

122212133120 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 122212133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184306727808).

122212133120 is an abundant number, since it is smaller than the sum of its proper divisors (246401322496).

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

122212133120 is a wasteful number, since it uses less digits than its factorization.

122212133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12417 (or 12403 counting only the distinct ones).

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

Adding to 122212133120 its reverse (21331212221), we get a palindrome (143543345341).

The spelling of 122212133120 in words is "one hundred twenty-two billion, two hundred twelve million, one hundred thirty-three thousand, one hundred twenty".