122732610 has 256 divisors, whose sum is σ = 407973888. Its totient is φ = 22809600.

The previous prime is 122732593. The next prime is 122732629. The reversal of 122732610 is 16237221.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1831797 + ... + 1831863.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2^122732610 is an apocalyptic number.

122732610 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 122732610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944).

122732610 is an abundant number, since it is smaller than the sum of its proper divisors (285241278).

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

122732610 is a wasteful number, since it uses less digits than its factorization.

122732610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 122732610 is about 11078.4750755688. The cubic root of 122732610 is about 496.9583475545.

Adding to 122732610 its reverse (16237221), we get a palindrome (138969831).

The spelling of 122732610 in words is "one hundred twenty-two million, seven hundred thirty-two thousand, six hundred ten".