1226383200 has 288 divisors, whose sum is σ = 5069675520. Its totient is φ = 280281600.

The previous prime is 1226383187. The next prime is 1226383211. The reversal of 1226383200 is 23836221.

1226383200 is a `hidden beast` number, since 1 + 2 + 2 + 638 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 147145 + ... + 155255.

It is an arithmetic number, because the mean of its divisors is an integer number (17603040).

Almost surely, 2^1226383200 is an apocalyptic number.

1226383200 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 1226383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534837760).

1226383200 is an abundant number, since it is smaller than the sum of its proper divisors (3843292320).

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

1226383200 is a wasteful number, since it uses less digits than its factorization.

1226383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8147 (or 8128 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1226383200 is about 35019.7544251812. The cubic root of 1226383200 is about 1070.3900519898.

The spelling of 1226383200 in words is "one billion, two hundred twenty-six million, three hundred eighty-three thousand, two hundred".