122132210233120 has 144 divisors (see below), whose sum is σ = 298922765843520. Its totient is φ = 47153659327488.

The previous prime is 122132210233097. The next prime is 122132210233133. The reversal of 122132210233120 is 21332012231221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438391789 + ... + 438670291.

It is an arithmetic number, because the mean of its divisors is an integer number (2075852540580).

Almost surely, 2^{122132210233120} is an apocalyptic number.

122132210233120 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 122132210233120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149461382921760).

122132210233120 is an abundant number, since it is smaller than the sum of its proper divisors (176790555610400).

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

122132210233120 is a wasteful number, since it uses less digits than its factorization.

122132210233120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281835 (or 281798 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 122132210233120 its reverse (21332012231221), we get a palindrome (143464222464341).

The spelling of 122132210233120 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, two hundred ten million, two hundred thirty-three thousand, one hundred twenty".