10401200 has 30 divisors (see below), whose sum is σ = 24989844. Its totient is φ = 4160320.

The previous prime is 10401199. The next prime is 10401203. The reversal of 10401200 is 210401.

It is a super-2 number, since 2×10401200² = 216369922880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10401203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12602 + ... + 13401.

Almost surely, 2^10401200 is an apocalyptic number.

10401200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401200 is an abundant number, since it is smaller than the sum of its proper divisors (14588644).

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

10401200 is a wasteful number, since it uses less digits than its factorization.

10401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26021 (or 26010 counting only the distinct ones).

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

The square root of 10401200 is about 3225.0891460547. The cubic root of 10401200 is about 218.2869716192.

Adding to 10401200 its reverse (210401), we get a palindrome (10611601).

It can be divided in two parts, 10401 and 200, that added together give a palindrome (10601).

The spelling of 10401200 in words is "ten million, four hundred one thousand, two hundred".