122630508 has 288 divisors, whose sum is σ = 431488512. Its totient is φ = 28339200.

The previous prime is 122630489. The next prime is 122630509. The reversal of 122630508 is 805036221.

122630508 is a `hidden beast` number, since 1 + 22 + 630 + 5 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122630509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1477435 + ... + 1477517.

It is an arithmetic number, because the mean of its divisors is an integer number (1498224).

Almost surely, 2^122630508 is an apocalyptic number.

122630508 is a gapful number since it is divisible by the number (18) 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 122630508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215744256).

122630508 is an abundant number, since it is smaller than the sum of its proper divisors (308858004).

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

122630508 is a wasteful number, since it uses less digits than its factorization.

122630508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 122630508 is about 11073.8659916038. The cubic root of 122630508 is about 496.8205017716.

Adding to 122630508 its reverse (805036221), we get a palindrome (927666729).

The spelling of 122630508 in words is "one hundred twenty-two million, six hundred thirty thousand, five hundred eight".