122733220 has 48 divisors (see below), whose sum is σ = 271076400. Its totient is φ = 46609920.

The previous prime is 122733211. The next prime is 122733229. The reversal of 122733220 is 22337221.

It is an interprime number because it is at equal distance from previous prime (122733211) and next prime (122733229).

It can be written as a sum of positive squares in 8 ways, for example, as 47251876 + 75481344 = 6874^2 + 8688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122733191 and 122733200.

It is not an unprimeable number, because it can be changed into a prime (122733229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33646 + ... + 37114.

It is an arithmetic number, because the mean of its divisors is an integer number (5647425).

Almost surely, 2^122733220 is an apocalyptic number.

122733220 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 122733220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135538200).

122733220 is an abundant number, since it is smaller than the sum of its proper divisors (148343180).

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

122733220 is a wasteful number, since it uses less digits than its factorization.

122733220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 122733220 is about 11078.5026063995. The cubic root of 122733220 is about 496.9591708731.

The spelling of 122733220 in words is "one hundred twenty-two million, seven hundred thirty-three thousand, two hundred twenty".