4101200 has 30 divisors (see below), whose sum is σ = 9854094. Its totient is φ = 1640320.

The previous prime is 4101197. The next prime is 4101241. The reversal of 4101200 is 21014.

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 4096576 = 68^2 + 2024^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4727 + ... + 5526.

Almost surely, 2^4101200 is an apocalyptic number.

4101200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4101200 is an abundant number, since it is smaller than the sum of its proper divisors (5752894).

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

4101200 is a wasteful number, since it uses less digits than its factorization.

4101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 4101200 is about 2025.1419703320. The cubic root of 4101200 is about 160.0676797009.

Adding to 4101200 its reverse (21014), we get a palindrome (4122214).

The spelling of 4101200 in words is "four million, one hundred one thousand, two hundred".