11227700 has 72 divisors (see below), whose sum is σ = 27185760. Its totient is φ = 3990400.

The previous prime is 11227693. The next prime is 11227739. The reversal of 11227700 is 772211.

11227700 = T₂₆₄ + T₂₆₅ + ... + T₄₄₀.

It is a super-2 number, since 2×11227700² = 252122494580000, which contains 22 as substring.

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

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64814 + ... + 64986.

It is an arithmetic number, because the mean of its divisors is an integer number (377580).

Almost surely, 2^11227700 is an apocalyptic number.

11227700 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 11227700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592880).

11227700 is an abundant number, since it is smaller than the sum of its proper divisors (15958060).

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

11227700 is a wasteful number, since it uses less digits than its factorization.

11227700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 250 counting only the distinct ones).

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

The square root of 11227700 is about 3350.7760295191. The cubic root of 11227700 is about 223.9220870612.

Adding to 11227700 its reverse (772211), we get a palindrome (11999911).

The spelling of 11227700 in words is "eleven million, two hundred twenty-seven thousand, seven hundred".