11201400 has 216 divisors, whose sum is σ = 44104320. Its totient is φ = 2540160.

The previous prime is 11201389. The next prime is 11201413. The reversal of 11201400 is 410211.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 88137 + ... + 88263.

Almost surely, 2^11201400 is an apocalyptic number.

11201400 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 11201400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22052160).

11201400 is an abundant number, since it is smaller than the sum of its proper divisors (32902920).

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

11201400 is a wasteful number, since it uses less digits than its factorization.

11201400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

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

The square root of 11201400 is about 3346.8492646069. The cubic root of 11201400 is about 223.7471104357.

Adding to 11201400 its reverse (410211), we get a palindrome (11611611).

The spelling of 11201400 in words is "eleven million, two hundred one thousand, four hundred".