122868630 has 128 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 30264192.

The previous prime is 122868617. The next prime is 122868631. The reversal of 122868630 is 36868221.

122868630 is a `hidden beast` number, since 12 + 2 + 8 + 6 + 8 + 630 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122868631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220312 + ... + 220868.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2^122868630 is an apocalyptic number.

122868630 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 122868630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

122868630 is an abundant number, since it is smaller than the sum of its proper divisors (230680170).

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

122868630 is a wasteful number, since it uses less digits than its factorization.

122868630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 122868630 is about 11084.6123071581. The cubic root of 122868630 is about 497.1418666109.

The spelling of 122868630 in words is "one hundred twenty-two million, eight hundred sixty-eight thousand, six hundred thirty".