122328024 has 128 divisors (see below), whose sum is σ = 381696000. Its totient is φ = 31809024.

The previous prime is 122328013. The next prime is 122328067. The reversal of 122328024 is 420823221.

It is a super-3 number, since 3×122328024³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 122327985 and 122328003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172182 + ... + 172890.

It is an arithmetic number, because the mean of its divisors is an integer number (2982000).

Almost surely, 2^122328024 is an apocalyptic number.

122328024 is a gapful number since it is divisible by the number (14) 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 122328024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190848000).

122328024 is an abundant number, since it is smaller than the sum of its proper divisors (259367976).

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

122328024 is a wasteful number, since it uses less digits than its factorization.

122328024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 122328024 is about 11060.1999981917. The cubic root of 122328024 is about 496.4116747823.

The spelling of 122328024 in words is "one hundred twenty-two million, three hundred twenty-eight thousand, twenty-four".