122024032 has 72 divisors (see below), whose sum is σ = 267605856. Its totient is φ = 54422784.

The previous prime is 122024009. The next prime is 122024041. The reversal of 122024032 is 230420221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 122023997 and 122024015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1544569 + ... + 1544647.

It is an arithmetic number, because the mean of its divisors is an integer number (3716748).

Almost surely, 2^122024032 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 122024032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133802928).

122024032 is an abundant number, since it is smaller than the sum of its proper divisors (145581824).

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

122024032 is an equidigital number, since it uses as much as digits as its factorization.

122024032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 122024032 is about 11046.4488411435. The cubic root of 122024032 is about 496.0001300728. Note that the first 3 decimals are identical.

Adding to 122024032 its reverse (230420221), we get a palindrome (352444253).

It can be divided in two parts, 1220 and 24032, that added together give a palindrome (25252).

The spelling of 122024032 in words is "one hundred twenty-two million, twenty-four thousand, thirty-two".