122022003120 has 160 divisors (see below), whose sum is σ = 392039550720. Its totient is φ = 31358745600.

The previous prime is 122022003101. The next prime is 122022003157. The reversal of 122022003120 is 21300220221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122022003120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791095 + ... + 3823145.

It is an arithmetic number, because the mean of its divisors is an integer number (2450247192).

Almost surely, 2^122022003120 is an apocalyptic number.

122022003120 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 122022003120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196019775360).

122022003120 is an abundant number, since it is smaller than the sum of its proper divisors (270017547600).

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

122022003120 is a wasteful number, since it uses less digits than its factorization.

122022003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32643 (or 32637 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 122022003120 its reverse (21300220221), we get a palindrome (143322223341).

The spelling of 122022003120 in words is "one hundred twenty-two billion, twenty-two million, three thousand, one hundred twenty".