10127200 has 36 divisors (see below), whose sum is σ = 24724980. Its totient is φ = 4050560.

The previous prime is 10127197. The next prime is 10127203. The reversal of 10127200 is 272101.

It is an interprime number because it is at equal distance from previous prime (10127197) and next prime (10127203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10127203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5530 + ... + 7129.

It is an arithmetic number, because the mean of its divisors is an integer number (686805).

Almost surely, 2^10127200 is an apocalyptic number.

10127200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10127200 is an abundant number, since it is smaller than the sum of its proper divisors (14597780).

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

10127200 is a wasteful number, since it uses less digits than its factorization.

10127200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12679 (or 12666 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 10127200 is about 3182.3261932115. The cubic root of 10127200 is about 216.3531032956.

Adding to 10127200 its reverse (272101), we get a palindrome (10399301).

The spelling of 10127200 in words is "ten million, one hundred twenty-seven thousand, two hundred".