1229351200 has 216 divisors, whose sum is σ = 3809849904. Its totient is φ = 383040000.

The previous prime is 1229351197. The next prime is 1229351269. The reversal of 1229351200 is 21539221.

It is a happy number.

It is a super-3 number, since 3×1229351200³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 35 ways as a sum of consecutive naturals, for example, 429775 + ... + 432625.

It is an arithmetic number, because the mean of its divisors is an integer number (17638194).

Almost surely, 2^1229351200 is an apocalyptic number.

1229351200 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 1229351200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904924952).

1229351200 is an abundant number, since it is smaller than the sum of its proper divisors (2580498704).

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

1229351200 is a wasteful number, since it uses less digits than its factorization.

1229351200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 1229351200 is about 35062.1048997347. The cubic root of 1229351200 is about 1071.2528487266.

The spelling of 1229351200 in words is "one billion, two hundred twenty-nine million, three hundred fifty-one thousand, two hundred".