122649930 has 128 divisors (see below), whose sum is σ = 357315840. Its totient is φ = 29756160.

The previous prime is 122649913. The next prime is 122649937. The reversal of 122649930 is 39946221.

122649930 is a `hidden beast` number, since 1 + 2 + 2 + 649 + 9 + 3 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (122649937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291120 + ... + 291540.

It is an arithmetic number, because the mean of its divisors is an integer number (2791530).

Almost surely, 2^122649930 is an apocalyptic number.

122649930 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 122649930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178657920).

122649930 is an abundant number, since it is smaller than the sum of its proper divisors (234665910).

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

122649930 is a wasteful number, since it uses less digits than its factorization.

122649930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 122649930 is about 11074.7428864060. The cubic root of 122649930 is about 496.8467289005.

The spelling of 122649930 in words is "one hundred twenty-two million, six hundred forty-nine thousand, nine hundred thirty".