123513200 has 90 divisors (see below), whose sum is σ = 305621064. Its totient is φ = 47967360.

The previous prime is 123513199. The next prime is 123513217. The reversal of 123513200 is 2315321.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 739517 + ... + 739683.

Almost surely, 2^123513200 is an apocalyptic number.

123513200 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 123513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152810532).

123513200 is an abundant number, since it is smaller than the sum of its proper divisors (182107864).

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

123513200 is a wasteful number, since it uses less digits than its factorization.

123513200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 123513200 is about 11113.6492656553. The cubic root of 123513200 is about 498.0096878273.

Adding to 123513200 its reverse (2315321), we get a palindrome (125828521).

It can be divided in two parts, 12351 and 3200, that added together give a palindrome (15551).

The spelling of 123513200 in words is "one hundred twenty-three million, five hundred thirteen thousand, two hundred".