123201456 has 80 divisors (see below), whose sum is σ = 369762048. Its totient is φ = 34617600.

The previous prime is 123201437. The next prime is 123201457. The reversal of 123201456 is 654102321.

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

It is not an unprimeable number, because it can be changed into a prime (123201457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17491 + ... + 23501.

Almost surely, 2^123201456 is an apocalyptic number.

123201456 is a gapful number since it is divisible by the number (16) 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 123201456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184881024).

123201456 is an abundant number, since it is smaller than the sum of its proper divisors (246560592).

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

123201456 is a wasteful number, since it uses less digits than its factorization.

123201456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6090 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 123201456 is about 11099.6151284628. The cubic root of 123201456 is about 497.5903471348.

Adding to 123201456 its reverse (654102321), we get a palindrome (777303777).

The spelling of 123201456 in words is "one hundred twenty-three million, two hundred one thousand, four hundred fifty-six".