122216832 has 96 divisors (see below), whose sum is σ = 353882880. Its totient is φ = 40485888.

The previous prime is 122216827. The next prime is 122216839. The reversal of 122216832 is 238612221.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 122216796 and 122216805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122216839) 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, 318913 + ... + 319295.

It is an arithmetic number, because the mean of its divisors is an integer number (3686280).

Almost surely, 2^122216832 is an apocalyptic number.

122216832 is a gapful number since it is divisible by the number (12) 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 122216832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176941440).

122216832 is an abundant number, since it is smaller than the sum of its proper divisors (231666048).

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

122216832 is a wasteful number, since it uses less digits than its factorization.

122216832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 122216832 is about 11055.1721831910. The cubic root of 122216832 is about 496.2612220960.

The spelling of 122216832 in words is "one hundred twenty-two million, two hundred sixteen thousand, eight hundred thirty-two".