122830840 has 64 divisors (see below), whose sum is σ = 303937920. Its totient is φ = 44304000.

The previous prime is 122830817. The next prime is 122830867. The reversal of 122830840 is 48038221.

It is a junction number, because it is equal to n+sod(n) for n = 122830799 and 122830808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56575 + ... + 58705.

It is an arithmetic number, because the mean of its divisors is an integer number (4749030).

Almost surely, 2^122830840 is an apocalyptic number.

122830840 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 122830840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151968960).

122830840 is an abundant number, since it is smaller than the sum of its proper divisors (181107080).

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

122830840 is a wasteful number, since it uses less digits than its factorization.

122830840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 122830840 is about 11082.9075607442. The cubic root of 122830840 is about 497.0908936936.

The spelling of 122830840 in words is "one hundred twenty-two million, eight hundred thirty thousand, eight hundred forty".