123201414 has 96 divisors (see below), whose sum is σ = 326514240. Its totient is φ = 32772096.

The previous prime is 123201371. The next prime is 123201437. The reversal of 123201414 is 414102321.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 241792 + ... + 242300.

It is an arithmetic number, because the mean of its divisors is an integer number (3401190).

Almost surely, 2^123201414 is an apocalyptic number.

123201414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123201414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163257120).

123201414 is an abundant number, since it is smaller than the sum of its proper divisors (203312826).

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

123201414 is a wasteful number, since it uses less digits than its factorization.

123201414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 123201414 is about 11099.6132365051. The cubic root of 123201414 is about 497.5902905911.

Adding to 123201414 its reverse (414102321), we get a palindrome (537303735).

The spelling of 123201414 in words is "one hundred twenty-three million, two hundred one thousand, four hundred fourteen".