122556330 has 144 divisors (see below), whose sum is σ = 357837480. Its totient is φ = 28926720.

The previous prime is 122556323. The next prime is 122556331. The reversal of 122556330 is 33655221.

122556330 is a `hidden beast` number, since 1 + 2 + 25 + 5 + 633 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88228449 + 34327881 = 9393^2 + 5859^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122556294 and 122556303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122556331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1124316 + ... + 1124424.

Almost surely, 2^122556330 is an apocalyptic number.

122556330 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 122556330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178918740).

122556330 is an abundant number, since it is smaller than the sum of its proper divisors (235281150).

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

122556330 is a wasteful number, since it uses less digits than its factorization.

122556330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 122556330 is about 11070.5162481250. The cubic root of 122556330 is about 496.7203076058.

The spelling of 122556330 in words is "one hundred twenty-two million, five hundred fifty-six thousand, three hundred thirty".