122132111003320 has 256 divisors, whose sum is σ = 323098383168000. Its totient is φ = 41069887488000.

The previous prime is 122132111003299. The next prime is 122132111003369. The reversal of 122132111003320 is 23300111231221.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 122132111003291 and 122132111003300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575421376 + ... + 575633584.

It is an arithmetic number, because the mean of its divisors is an integer number (1262103059250).

Almost surely, 2^{122132111003320} is an apocalyptic number.

122132111003320 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 122132111003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161549191584000).

122132111003320 is an abundant number, since it is smaller than the sum of its proper divisors (200966272164680).

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

122132111003320 is a wasteful number, since it uses less digits than its factorization.

122132111003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213894 (or 213890 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 122132111003320 its reverse (23300111231221), we get a palindrome (145432222234541).

The spelling of 122132111003320 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred eleven million, three thousand, three hundred twenty".