11012400 has 360 divisors, whose sum is σ = 47973120. Its totient is φ = 2280960.

The previous prime is 11012389. The next prime is 11012401. The reversal of 11012400 is 421011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (11012401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 478789 + ... + 478811.

Almost surely, 2^11012400 is an apocalyptic number.

11012400 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 11012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986560).

11012400 is an abundant number, since it is smaller than the sum of its proper divisors (36960720).

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

11012400 is a wasteful number, since it uses less digits than its factorization.

11012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11012400 is about 3318.4936341660. The cubic root of 11012400 is about 222.4815454121.

Adding to 11012400 its reverse (421011), we get a palindrome (11433411).

The spelling of 11012400 in words is "eleven million, twelve thousand, four hundred".