123214128 has 80 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 39035392.

The previous prime is 123214123. The next prime is 123214129. The reversal of 123214128 is 821412321.

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

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 = 123214098 and 123214107.

It is not an unprimeable number, because it can be changed into a prime (123214123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256993 + ... + 257471.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2^123214128 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 123214128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

123214128 is an abundant number, since it is smaller than the sum of its proper divisors (211050192).

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

123214128 is a wasteful number, since it uses less digits than its factorization.

123214128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 740 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 123214128 is about 11100.1859443885. The cubic root of 123214128 is about 497.6074065887.

Adding to 123214128 its reverse (821412321), we get a palindrome (944626449).

The spelling of 123214128 in words is "one hundred twenty-three million, two hundred fourteen thousand, one hundred twenty-eight".