11277200 has 90 divisors (see below), whose sum is σ = 29908242. Its totient is φ = 4083200.

The previous prime is 11277169. The next prime is 11277229. The reversal of 11277200 is 277211.

It can be written as a sum of positive squares in 3 ways, for example, as 94864 + 11182336 = 308^2 + 3344^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 13.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48284 + ... + 48516.

Almost surely, 2^11277200 is an apocalyptic number.

11277200 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 11277200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954121).

11277200 is an abundant number, since it is smaller than the sum of its proper divisors (18631042).

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

11277200 is a wasteful number, since it uses less digits than its factorization.

11277200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 11277200 is about 3358.1542549442. The cubic root of 11277200 is about 224.2506759992.

The spelling of 11277200 in words is "eleven million, two hundred seventy-seven thousand, two hundred".