122802820 has 108 divisors (see below), whose sum is σ = 312776100. Its totient is φ = 40379136.

The previous prime is 122802809. The next prime is 122802851. The reversal of 122802820 is 28208221.

It can be written as a sum of positive squares in 6 ways, for example, as 8398404 + 114404416 = 2898^2 + 10696^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 824106 + ... + 824254.

It is an arithmetic number, because the mean of its divisors is an integer number (2896075).

Almost surely, 2^122802820 is an apocalyptic number.

122802820 is a gapful number since it is divisible by the number (10) 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 122802820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156388050).

122802820 is an abundant number, since it is smaller than the sum of its proper divisors (189973280).

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

122802820 is a wasteful number, since it uses less digits than its factorization.

122802820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 122802820 is about 11081.6433799324. The cubic root of 122802820 is about 497.0530922585.

The spelling of 122802820 in words is "one hundred twenty-two million, eight hundred two thousand, eight hundred twenty".