123013200 has 120 divisors (see below), whose sum is σ = 411277248. Its totient is φ = 31370240.

The previous prime is 123013199. The next prime is 123013213. The reversal of 123013200 is 2310321.

It is a happy number.

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, 25372 + ... + 29828.

Almost surely, 2^123013200 is an apocalyptic number.

123013200 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 123013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205638624).

123013200 is an abundant number, since it is smaller than the sum of its proper divisors (288264048).

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

123013200 is a wasteful number, since it uses less digits than its factorization.

123013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4501 (or 4490 counting only the distinct ones).

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

The square root of 123013200 is about 11091.1315924030. The cubic root of 123013200 is about 497.3367729631.

Adding to 123013200 its reverse (2310321), we get a palindrome (125323521).

The spelling of 123013200 in words is "one hundred twenty-three million, thirteen thousand, two hundred".