122832465408 has 120 divisors (see below), whose sum is σ = 354818703096. Its totient is φ = 40907673600.

The previous prime is 122832465403. The next prime is 122832465421. The reversal of 122832465408 is 804564238221.

122832465408 is a `hidden beast` number, since 1 + 2 + 2 + 83 + 24 + 6 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122832465403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5430763 + ... + 5453333.

Almost surely, 2^122832465408 is an apocalyptic number.

122832465408 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 122832465408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177409351548).

122832465408 is an abundant number, since it is smaller than the sum of its proper divisors (231986237688).

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

122832465408 is a wasteful number, since it uses less digits than its factorization.

122832465408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23776 (or 23757 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 122832465408 in words is "one hundred twenty-two billion, eight hundred thirty-two million, four hundred sixty-five thousand, four hundred eight".