1123221000 has 256 divisors, whose sum is σ = 3872344320. Its totient is φ = 268800000.

The previous prime is 1123220983. The next prime is 1123221013. The reversal of 1123221000 is 1223211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3332832 + ... + 3333168.

It is an arithmetic number, because the mean of its divisors is an integer number (15126345).

Almost surely, 2^1123221000 is an apocalyptic number.

1123221000 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 1123221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1936172160).

1123221000 is an abundant number, since it is smaller than the sum of its proper divisors (2749123320).

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

1123221000 is a wasteful number, since it uses less digits than its factorization.

1123221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1123221000 is about 33514.4894038385. The cubic root of 1123221000 is about 1039.4934046526.

Adding to 1123221000 its reverse (1223211), we get a palindrome (1124444211).

The spelling of 1123221000 in words is "one billion, one hundred twenty-three million, two hundred twenty-one thousand".