122133330 has 192 divisors, whose sum is σ = 375598080. Its totient is φ = 27216000.

The previous prime is 122133313. The next prime is 122133343. The reversal of 122133330 is 33331221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808755 + ... + 808905.

It is an arithmetic number, because the mean of its divisors is an integer number (1956240).

Almost surely, 2^122133330 is an apocalyptic number.

122133330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122133330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187799040).

122133330 is an abundant number, since it is smaller than the sum of its proper divisors (253464750).

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

122133330 is a wasteful number, since it uses less digits than its factorization.

122133330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 122133330 is about 11051.3949345773. The cubic root of 122133330 is about 496.1481764409.

Adding to 122133330 its reverse (33331221), we get a palindrome (155464551).

The spelling of 122133330 in words is "one hundred twenty-two million, one hundred thirty-three thousand, three hundred thirty".