122830464 has 64 divisors (see below), whose sum is σ = 330480000. Its totient is φ = 40415232.

The previous prime is 122830451. The next prime is 122830469. The reversal of 122830464 is 464038221.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (122830469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28312 + ... + 32360.

It is an arithmetic number, because the mean of its divisors is an integer number (5163750).

Almost surely, 2^122830464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

122830464 is an abundant number, since it is smaller than the sum of its proper divisors (207649536).

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

122830464 is an equidigital number, since it uses as much as digits as its factorization.

122830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 122830464 is about 11082.8905976735. The cubic root of 122830464 is about 497.0903864747.

Adding to 122830464 its reverse (464038221), we get a palindrome (586868685).

The spelling of 122830464 in words is "one hundred twenty-two million, eight hundred thirty thousand, four hundred sixty-four".