122133221320 has 128 divisors (see below), whose sum is σ = 315790617600. Its totient is φ = 42043795200.

The previous prime is 122133221317. The next prime is 122133221351. The reversal of 122133221320 is 23122331221.

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 = 122133221291 and 122133221300.

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, 13429975 + ... + 13439065.

It is an arithmetic number, because the mean of its divisors is an integer number (2467114200).

Almost surely, 2^122133221320 is an apocalyptic number.

122133221320 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 122133221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157895308800).

122133221320 is an abundant number, since it is smaller than the sum of its proper divisors (193657396280).

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

122133221320 is a wasteful number, since it uses less digits than its factorization.

122133221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10739 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122133221320 its reverse (23122331221), we get a palindrome (145255552541).

The spelling of 122133221320 in words is "one hundred twenty-two billion, one hundred thirty-three million, two hundred twenty-one thousand, three hundred twenty".