123301200 has 120 divisors (see below), whose sum is σ = 430927776. Its totient is φ = 29888000.

The previous prime is 123301181. The next prime is 123301219. The reversal of 123301200 is 2103321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (123301181) and next prime (123301219).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8530 + ... + 17870.

Almost surely, 2^123301200 is an apocalyptic number.

123301200 is a gapful number since it is divisible by the number (10) 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 123301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215463888).

123301200 is an abundant number, since it is smaller than the sum of its proper divisors (307626576).

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

123301200 is a wasteful number, since it uses less digits than its factorization.

123301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9373 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 123301200 is about 11104.1073481843. The cubic root of 123301200 is about 497.7245940971.

Adding to 123301200 its reverse (2103321), we get a palindrome (125404521).

It can be divided in two parts, 12330 and 1200, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 123301200 in words is "one hundred twenty-three million, three hundred one thousand, two hundred".