122033031120 has 480 divisors, whose sum is σ = 550261281024. Its totient is φ = 23406796800.

The previous prime is 122033031097. The next prime is 122033031139. The reversal of 122033031120 is 21130330221.

122033031120 is a `hidden beast` number, since 1 + 2 + 2 + 0 + 330 + 311 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122033031093 and 122033031102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 636060 + ... + 805380.

Almost surely, 2^122033031120 is an apocalyptic number.

122033031120 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 122033031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275130640512).

122033031120 is an abundant number, since it is smaller than the sum of its proper divisors (428228249904).

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

122033031120 is a wasteful number, since it uses less digits than its factorization.

122033031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169371 (or 169362 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 122033031120 its reverse (21130330221), we get a palindrome (143163361341).

The spelling of 122033031120 in words is "one hundred twenty-two billion, thirty-three million, thirty-one thousand, one hundred twenty".