10123200 has 252 divisors, whose sum is σ = 38897560. Its totient is φ = 2488320.

The previous prime is 10123199. The next prime is 10123207. The reversal of 10123200 is 232101.

It is a happy number.

10123200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273582 + ... + 273618.

Almost surely, 2^10123200 is an apocalyptic number.

10123200 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 10123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19448780).

10123200 is an abundant number, since it is smaller than the sum of its proper divisors (28774360).

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

10123200 is a wasteful number, since it uses less digits than its factorization.

10123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10123200 is about 3181.6976600551. The cubic root of 10123200 is about 216.3246147902.

Adding to 10123200 its reverse (232101), we get a palindrome (10355301).

The spelling of 10123200 in words is "ten million, one hundred twenty-three thousand, two hundred".