122810688 has 448 divisors, whose sum is σ = 491581440. Its totient is φ = 29030400.

The previous prime is 122810609. The next prime is 122810693. The reversal of 122810688 is 886018221.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729693 + ... + 1729763.

It is an arithmetic number, because the mean of its divisors is an integer number (1097280).

Almost surely, 2^122810688 is an apocalyptic number.

122810688 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 122810688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

122810688 is an abundant number, since it is smaller than the sum of its proper divisors (368770752).

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

122810688 is a wasteful number, since it uses less digits than its factorization.

122810688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 122810688 is about 11081.9983757443. The cubic root of 122810688 is about 497.0637074605.

Adding to 122810688 its sum of digits (36), we get a square (122810724 = 11082²).

The spelling of 122810688 in words is "one hundred twenty-two million, eight hundred ten thousand, six hundred eighty-eight".