1153221200 has 60 divisors (see below), whose sum is σ = 2778289440. Its totient is φ = 460010880.

The previous prime is 1153221191. The next prime is 1153221229. The reversal of 1153221200 is 21223511.

It is a happy number.

It is a super-2 number, since 2×1153221200² = 2659838272258880000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147797 + ... + 155403.

It is an arithmetic number, because the mean of its divisors is an integer number (46304824).

Almost surely, 2^1153221200 is an apocalyptic number.

1153221200 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 1153221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389144720).

1153221200 is an abundant number, since it is smaller than the sum of its proper divisors (1625068240).

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

1153221200 is a wasteful number, since it uses less digits than its factorization.

1153221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004 (or 7993 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1153221200 is about 33959.1107068486. The cubic root of 1153221200 is about 1048.6668492526. Note that the first 3 decimals are identical.

Adding to 1153221200 its reverse (21223511), we get a palindrome (1174444711).

The spelling of 1153221200 in words is "one billion, one hundred fifty-three million, two hundred twenty-one thousand, two hundred".